Relevant bibliographies by topics / Gauge theorie

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Gauge theorie'

Author: Grafiati
Published: 9 March 2023

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Journal articles on the topic "Gauge theorie"

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Reshetnyak, Alexander. "On gauge independence for gauge models with soft breaking of BRST symmetry." International Journal of Modern Physics A 29, no. 30 (December 8, 2014): 1450184. http://dx.doi.org/10.1142/s0217751x1450184x.

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A consistent quantum treatment of general gauge theories with an arbitrary gauge-fixing in the presence of soft breaking of the BRST symmetry in the field–antifield formalism is developed. It is based on a gauged (involving a field-dependent parameter) version of finite BRST transformations. The prescription allows one to restore the gauge-independence of the effective action at its extremals and therefore also that of the conventional S-matrix for a theory with BRST-breaking terms being additively introduced into a BRST-invariant action in order to achieve a consistency of the functional integral. We demonstrate the applicability of this prescription within the approach of functional renormalization group to the Yang–Mills and gravity theories. The Gribov–Zwanziger action and the refined Gribov–Zwanziger action for a many-parameter family of gauges, including the Coulomb, axial and covariant gauges, are derived perturbatively on the basis of finite gauged BRST transformations starting from Landau gauge. It is proved that gauge theories with soft breaking of BRST symmetry can be made consistent if the transformed BRST-breaking terms satisfy the same soft BRST symmetry breaking condition in the resulting gauge as the untransformed ones in the initial gauge, and also without this requirement.
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LAVELLE, MARTIN, and DAVID MCMULLAN. "GAUGE FIXING, UNITARITY AND PHASE SPACE PATH INTEGRALS." International Journal of Modern Physics A 07, no. 21 (August 20, 1992): 5245–79. http://dx.doi.org/10.1142/s0217751x92002404.

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We analyse the extent to which path integral techniques can be used to directly prove the unitarity of gauge theories. After reviewing the limitations of the most widely used approaches, we concentrate upon the method which is commonly regarded as solving the problem, i.e. that of Fradkin and Vilkovisky. We show through explicit counterexamples that their main theorem is incorrect. A proof is presented for a restricted version of their theorem. From this restricted theorem we are able to rederive Faddeev’s unitary phase space results for a wide class of canonical gauges (which includes the Coulomb gauge) and for the Feynman gauge. However, we show that there are serious problems with the extensions of this argument to the Landau gauge and hence the full Lorentz class. We conclude that there does not yet exist any satisfactory path integral discussion of the covariant gauges.
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CLARK, T. E., C. H. LEE, and S. T. LOVE. "SUPERSYMMETRIC TENSOR GAUGE THEORIES." Modern Physics Letters A 04, no. 14 (July 20, 1989): 1343–53. http://dx.doi.org/10.1142/s0217732389001532.

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The supersymmetric extensions of anti-symmetric tensor gauge theories and their associated tensor gauge symmetry transformations are constructed. The classical equivalence between such supersymmetric tensor gauge theories and supersymmetric non-linear sigma models is established. The global symmetry of the supersymmetric tensor gauge theory is gauged and the locally invariant action is obtained. The supercurrent on the Kähler manifold is found in terms of the supersymmetric tensor gauge field.
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Kogan, Ian I., Alex Lewis, and Oleg A. Soloviev. "Gauge Dressing of 2D Field Theories." International Journal of Modern Physics A 12, no. 13 (May 20, 1997): 2425–36. http://dx.doi.org/10.1142/s0217751x97001419.

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By using the gauge Ward identities, we study correlation functions of gauged WZNW models. We show that the gauge dressing of the correlation functions can be taken into account as a solution of the Knizhnik–Zamolodchikov equation. Our method is analogous to the analysis of the gravitational dressing of 2D field theories.
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Nakkagawa, Hisao, Akira Niégawa, and Bernard Pire. "Gauge (in)dependence of the fermion damping rate in hot gauge theories." Canadian Journal of Physics 71, no. 5-6 (May 1, 1993): 269–75. http://dx.doi.org/10.1139/p93-043.

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The gauge-(in)dependence problem of the fermion damping rate in hot gauge theories is carefully examined to the effective one-loop order using a recently proposed resummation method in terms of the so-called "hard thermal loops." Explicit analysis is given in the case of a heavy fermion [Formula: see text], which enables us to investigate the essential point of the controversy in detail. Calculation in general covariant gauges shows in which calculation procedure we can get a gauge-parameter independent result. We also show, with explicit calculations, that the difference in the damping rate in the Landau and the Coulomb gauges is nonleading. Thus the leading-order damping rate is gauge independent within the Coulomb and general covariant gauges if an appropriate calculation procedure is employed.
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Kobes, R., G. Kunstatter, and K. Mak. "Damping of fermions in hot gauge theories." Canadian Journal of Physics 71, no. 5-6 (May 1, 1993): 252–55. http://dx.doi.org/10.1139/p93-040.

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The calculation of the massless fermion damping rate to order g2T in the long-wavelength limit of hot gauge theories using the recently developed resummation methods in terms of hard thermal loops is reviewed. Ward identities between the effective propagators and vertices are used to formally prove the gauge independence of the damping rate to this order in a wide class of gauges. We also discuss some aspects of the cutoff dependence of the gauge-dependent terms proportional to the mass-shell condition.
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Wess, Julius. "Gauge Theories beyond Gauge Theories." Fortschritte der Physik 49, no. 4-6 (May 2001): 377–85. http://dx.doi.org/10.1002/1521-3978(200105)49:4/6<377::aid-prop377>3.0.co;2-2.

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Wess, Julius. "Gauge Theories beyond Gauge Theories." Fortschritte der Physik 49, no. 4-6 (May 2001): 377. http://dx.doi.org/10.1002/1521-3978(200105)49:4/6<377::aid-prop377>3.3.co;2-u.

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Masood, Syed, Mushtaq B. Shah, and Prince A. Ganai. "Spontaneous symmetry breaking in Lorentz violating background." International Journal of Geometric Methods in Modern Physics 15, no. 02 (January 24, 2018): 1850021. http://dx.doi.org/10.1142/s0219887818500214.

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In this paper, we study spontaneous symmetry breaking of gauge theories in a Lorentz violating background. Here, Lorentz symmetry will be broken down to its subgroup using the formalism of very special relativity. The breaking of the Lorentz symmetry will modify the gauge theories, and this will in turn modify the Higgs mechanisms for such theories. We will explicitly demonstrate that the different Hilbert spaces in various gauges of this theory can be related to each other through the gaugeon formalism. We will also discuss the FFBRST transformation for this theory, and observe that gaugeon formalism can be obtained from same. Thus, by making the BRST parameter finite and field dependent, we can relate different Hilbert spaces in different gauges for a gauge theory with spontaneous symmetry breaking in VSR.
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Litim, Daniel F., and Jan M. Pawlowski. "Renormalisation group flows for gauge theories in axial gauges." Journal of High Energy Physics 2002, no. 09 (September 23, 2002): 049. http://dx.doi.org/10.1088/1126-6708/2002/09/049.

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Dissertations / Theses on the topic "Gauge theorie"

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LEONI, MARTA. "SCATTERING AMPLITUDES IN SUPERCONFORMAL GAUGE THEORIES." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/259356.

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Superconformal field theories have been widely explored over the last years, especially because of their large amount of symmetry which allows to derive exact results. The most prominent example within this class is the four-dimensional maximally supersymmetric N = 4 Super Yang-Mills theory, which played a pivotal role in the proposal of the AdS/CFT correspondence, a conjectured weak/strong duality relating superconformal gauge theories to string theories on curved backgrounds. Soon after the formulation of the correspondence the presence of integrable structures was discovered both in planar N = 4 SYM and in its string counterpart, and since then integrability in superconformal theories became one of the main research topics in theoretical physics. Interestingly, integrability in N = 4 was later shown to be intimately related to the presence of the so called dual conformal symmetry, a hidden symmetry of the planar amplitudes that puts even stronger constraints on their structure. This suggests that some crucial aspects of a theory can be investigated through the computation of its scattering amplitudes, which can thereby provide a powerful tool also for the study of less supersymmetric superconformal field theories. In particular it is essential to understand whether some of the beautiful properties of N = 4 survives when supersymmetry is not maximal. In this thesis we present computations of massless scattering amplitudes in two different not maximally supersymmetric conformal theories: N = 2 superconformal QCD in four dimensions and N = 6 Chern-Simons matter theory (ABJM) in three dimensions. In N = 2 SCQCD we compute all possible four-point amplitudes at one loop and the two-loop amplitude with fundamental fields as external legs. In ABJM we extend the two-loop computation of four-point scattering amplitudes and of the Sudakov form factor beyond the planar limit. We also discuss our results in relation to the corresponding ones in N = 4 SYM, paying particular attention to the possible presence of dual conformal invariance and to maximum transcendentality.
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Maas, Axel Torsten. "The high-temperature phase of Yang-Mills theory in Landau gauge." Phd thesis, [S.l. : s.n.], 2004. http://elib.tu-darmstadt.de/diss/000504.

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BERATTO, EMANUELE. "Infrared properties of three dimensional gauge theories via supersymmetric indices." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2023. https://hdl.handle.net/10281/402369.

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The thesis focuses on the study of various supersymmetric three-dimensional gauge theories, mainly with at least N = 3 supersymmetry. We range between very different theories and discuss several different aspects with the aim of validate our assumptions. Therefore, the leitmotiv of this work resides not so much in the topics we cover, but rather in the method that we use to obtain such results. This, in fact, consists in analysing the gauge invariant operators of the theory forming the so-called chiral ring. By having access to the chiral ring structure of the theory and to the operators forming it, we gain insight to the properties that needed to confirm or debunk our hypothesis. We will essentially use two different tools for counting and studying such chiral operators: the Hilbert series and the three-dimensional superconformal index. Thanks to the Hilbert series, we propose a quiver description for the mirror theories of the circle reduction of four-dimensional twisted χ(a2N) theories of class S. These mirrors are, in fact, described by "almost" star-shaped quivers containing both unitary and orthosymplectic gauge groups, along with hypermultiplets in the fundamental representation. On the other hand, by means of the superconformal index, we investigate the N = 2 preserving exactly marginal operators of the so called S-fold theories. In particular, we focus on two families of such theories, constructed by gauging the diagonal flavour symmetry of the T(U(N)) and T[2,12][2,12 ](SU(4)) theories. In addition, we also examine in detail the zero-form and one-form global symmetries of the Aharony-Bergman-Jafferis theories, with at least N = 6 supersymmetry, and with both orthosymplectic and unitary gauge groups. A number of dualities among all these theories are discovered and studied using the aforementioned tools.
The thesis focuses on the study of various supersymmetric three-dimensional gauge theories, mainly with at least N = 3 supersymmetry. We range between very different theories and discuss several different aspects with the aim of validate our assumptions. Therefore, the leitmotiv of this work resides not so much in the topics we cover, but rather in the method that we use to obtain such results. This, in fact, consists in analysing the gauge invariant operators of the theory forming the so-called chiral ring. By having access to the chiral ring structure of the theory and to the operators forming it, we gain insight to the properties that needed to confirm or debunk our hypothesis. We will essentially use two different tools for counting and studying such chiral operators: the Hilbert series and the three-dimensional superconformal index. Thanks to the Hilbert series, we propose a quiver description for the mirror theories of the circle reduction of four-dimensional twisted χ(a2N) theories of class S. These mirrors are, in fact, described by "almost" star-shaped quivers containing both unitary and orthosymplectic gauge groups, along with hypermultiplets in the fundamental representation. On the other hand, by means of the superconformal index, we investigate the N = 2 preserving exactly marginal operators of the so called S-fold theories. In particular, we focus on two families of such theories, constructed by gauging the diagonal flavour symmetry of the T(U(N)) and T[2,12][2,12 ](SU(4)) theories. In addition, we also examine in detail the zero-form and one-form global symmetries of the Aharony-Bergman-Jafferis theories, with at least N = 6 supersymmetry, and with both orthosymplectic and unitary gauge groups. A number of dualities among all these theories are discovered and studied using the aforementioned tools.
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COCCIA, LORENZO. "On the planar limit of 3d T_rho^sigma[SU(N)] theories." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2022. http://hdl.handle.net/10281/364338.

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In questa tesi discutiamo un limite di particolari teorie di gauge 3d, le teorie T^sigma_rho[SU(N)], che ammetono una descrizione in termini di da quiver. Nel limite considerato, il numero di nodi è grande e i ranghi scalano quadraticamente con la lunghezza del quiver. Le energie libere sulla sfera e il topologically twisted index sono ottenuti usando la procedura della localizzazione supersimmetrica. Entrambi scalano quarticamente con la lunghezza del quiver e quadraticamente con N, con funzioni trilogaritmiche dipendenti dai dati del quiver come coefficienti. Le teorie precedentemente discusse con scaling N^2 \ln N sorgono come casi limite. Le SCFTs IR hanno duali di supergravità ben definiti in Tipo IIB: le energie libere corrispondono esattamente ai risultati olografici e gli indici, nel caso di un twist universale, riproducono correttamente l'entropia di un buco nero universale che può essere immerso nelle soluzioni olograficamente duali. Ogni teoria 3d descritta da un quiver bilanciato è legata ad una 5d, il cui modello matriciale è dominato dallo stesso punto di sella. Ciò conduce a strette relazioni tra osservabili BPS. In particolare, calcoliamo il valore di aspettazione dei Wilson loop in rappresentazioni antisimmetriche, trovando un perfetto accordo con il lato di gravità in un particolare esempio.
In this thesis we discuss a limit of 3d T^sigma _rho[SU(N)] quiver gauge theories in which the number of nodes is large and the ranks scale quadratically with the length of the quiver. The sphere free energies and topologically twisted indices are obtained using supersymmetric localization. Both scale quartically with the length of the quiver and quadratically with $N$, with trilogarithm functions depending on the quiver data as coefficients. Previously discussed theories with $N^2 \ln N$ scaling arise as limiting cases. The IR SCFTs have well-behaved supergravity duals in Type IIB: the free energies match precisely with holographic results and the indices, in case of a universal twist, correctly reproduce the entropy of an universal black hole which can be embedded in the holographically dual solutions. Each balanced 3d quiver theory is linked to a 5d parent, whose matrix model is related and dominated by the same saddle point, leading to close relations between BPS observables. In particular, we compute the expectation value of Wilson loops in antisymmetric representations, finding perfect agreement with the gravity side in a particular example.
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Sundin, Per. "Perturbative quantization of superstring theory in Anti de-Sitter spaces." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2011. http://dx.doi.org/10.18452/16320.

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Um das mikroskopische Verhalten der Gravitation zu beschreiben, ist es nötig, Quantenfeldtheorie und allgemeine Relativitätstheorie in einer vereinheitlichten Sprache zu formulieren. Eine Möglichkeit dieses Problem anzugehen ist es, die Punktteilchen der Quantenfeldtheorie durch fadenförmige Strings zu ersetzen. Allerdings erfordert die mathematische Konsistenz, dass sich die String in höherdimensionalen Raum-Zeiten bewegen; dies macht es jedoch sehr schwer, physikalische Konsequenzen zu extrahieren. Eine mögliche Lösung dieses Problems ist die Verwendung von String-Dualitäten, welche die Stringtheorie mittels holographischer Beschreibungen mit Eichtheorien auf dem Rand der Raum-Zeit verbinden. Die Dualitäten sind begründete Vermutungen, die die String- und Eichtheorie bei unterschiedlichen Werten der Kopplung gleichsetzen. Nicht zuletzt deshalb ist eine direkte Überprüfung der Dualitäten schwierig durchführbar. Hier hilft jedoch die sehr bemerkenswerte Tatsache, dass eine verborgene Eigenschaft der Vermutungen Integrabilität zu sein scheint, welche eine Extrapolation zwischen starker und schwacher Kopplung ermöglicht. Desweiteren kann das gesamte Spektrum, in gewissen vereinfachenden Grenzfällen, durch einen kompakten Satz von Bethe-Gleichungen ausgedrückt werden. Die Bethe-Gleichungen, welche aus Eichtheorierechnungen hergeleitet und geraten werden, bieten ein exzellentes Hilfsmittel, die vermuteten Dualitäten zu prüfen. Durch das Vergleichen der Vorhersagen der Gleichungen und expliziten Berechnungen in der Stringtheorie erhält man starke Argumente für die Gültigkeit der Vermutung und der angenommenen Integrabilität.
In this thesis we study superstring theory on AdS$_5\, \times\,$S$^5$, AdS$_3\,\times\,$S$^3$ and $\adsfour$. A shared feature of each theory is that their corresponding symmetry algebras allows for a decomposition under a $\mathbb{Z}_4$ grading. The grading can be realized through an automorphism which allows for a convenient construction of the string Lagrangians directly in terms of graded components. We adopt a uniform light-cone gauge and expand in a near plane wave limit, or equivalently, an expansion in transverse string coordinates. With a main focus on the two critical string theories, we perform a perturbative quantization up to quartic order in the number of fields. Each string theory is, through holographic descriptions, conjectured to be dual to lower dimensional gauge theories. The conjectures imply that the conformal dimensions of single trace operators in gauge theory should be equal to the energy of string states. What is more, through the use of integrable methods, one can write down a set of Bethe equations whose solutions encode the full spectral problem. One main theme of this thesis is to match the predictions of these equations, written in a language suitable for the light-cone gauge we employ, against explicit string theory calculations. We do this for a large class of string states and the perfect agreement we find lends strong support for the validity of the conjectures.
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Chimento, S. "BLACK HOLE DYNAMICS IN GENUINE AND FAKE GAUGED SUPERGRAVITY." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/259452.

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The goal of this thesis is to obtain and study new black hole solutions, both with and without supersymmetry, with a particular focus on multi-centered black holes in a cosmological background. After a review of matter-coupled N=2 gauged supergravity in four dimensions and of the classification of its supersymmetric solutions, a new supersymmetric black hole solution is obtained, which is the first with nontrivial running hyperscalars. Fake supergravity is a framework that allows to apply the methods used to classify supersymmetric solutions of supergravity also to theories without supersymmetry. A classification of fake supersymmetric solutions of a theory related to N=2, d=4 gauged supergravity is reviewed and used to construct dynamical solutions representing multiple black holes in a Friedmann-Lemaître-Robertson-Walker background. The physical properties of the single-centered case are then studied in some detail. More complicated solutions with rotation and NUT-charge, or with curved spatial slices, are obtained for a less general class of theories. Finally a recipe to obtain multi-centered black holes in an arbitrary FLRW universe and in arbitrary dimension is presented. These spacetimes are a multi-centered generalization of the charged McVittie black hole and are sourced by a U(1) gauge field and by a charged perfect fluid. As a particular subcase, these solutions describe an arbitrary number of black holes in a background that is locally anti-de Sitter space in cosmological coordinates. Some physical properties of the single-centered asymptotically AdS black hole are studied, showing in particular that a generalized first law of black hole dynamics is satisfied.
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Metzger, Steffen. "Supersymmetric Gauge Theories from String Theory." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2005. http://tel.archives-ouvertes.fr/tel-00011979.

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Cette thèse traite de plusieurs façons de construire une théorie quantiques des champs en quatre dimensions à partir de la théorie des cordes.

Dans une première partie nous étudions la construction d'une théorie Yang-Mills supersymétrique, couplée à un superchamp chiral dans la représentation adjointe, à partir de la théorie des cordes de type IIB sur une variété Calabi-Yau non compacte, avec des D-branes qui enroulent certaines sousvariétés. Les propriétés de
la théorie de jauge sont alors reflétées dans la structure
géométrique de la variété Calabi-Yau. En particulier, on peut calculer en principe le superpotentiel effectif de basse énergie qui décrit la structure des vides de la théorie de jauge en utilisant la théorie des cordes (topologiques). Malheureusement, en pratique, ceci n'est pas faisable. Il est remarquable qu'on puisse cependant montrer que la dynamique de basse énergie de la
théorie de jauge est codée par la géométrie d'une autre variété Calabi-Yau non compacte, reliée à la première par une transition géométrique. La théorie des cordes de type IIB sur cette deuxième variété, dans laquelle sont allumés des flux de fond appropriés, génère une théorie de jauge en quatre dimensions, qui n'est d'autre que la théorie effective de basse énergie de la théorie de
jauge originale. Ainsi, pour obtenir le superpotentiel effectif de basse énergie il suffit simplement de calculer certaines intégrales dans la deuxième géométrie Calabi-Yau, ce qui est faisable, au moins perturbativement. On trouve alors que le problème extrêmement difficile d'étudier la dynamique de basse
énergie d'une théorie de jauge non Abelienne a été réduit à celui de calculer certaines intégrales dans une géométrie connue. On peut démontrer que ces intégrales sont intimement reliées à certaines quantités dans un modèle de matrices holomorphes, et on peut alors calculer le superpotentiel effectif comme fonction de
certaines expressions du model de matrices. Il est remarquable que la série perturbative du modèle de matrices calcule alors le superpotentiel effectif non-perturbatif.

Ces relations étonnantes ont été découvertes et élaborée par plusieurs auteurs au cours des dernières années. Les résultats originaux de cette thèse comprennent la forme précise des relations de la ``géométrie spéciale" sur une variété Calabi-Yau
non compacte. Nous étudions en détail comment ces intégrales géométriques dépendent du cut-off, et leur relation à l'énergie libre du modèle de matrices. En particulier, sur une variété Calabi-Yau non compacte nous proposons une forme bilineaire sur le
produit direct de l'espace des formes avec l'espace des cycles, qui élimine toutes les divergences, sauf la divergence logarithmique. Notre analyse détaillée du modèle de matrices holomorphes clarifie aussi plusieurs aspects reliés à la méthode du col de ce modèle de matrices. Nous montrons en particulier qu'exiger une densité spectrale réelle restreint la forme de la
courbe Riemannienne qui apparaît dans la limite planaire du modèle de matrices. Çela nous donne des contraintes sur la forme du contour sur lequel les valeurs propres sont intégrées. Tous ces
résultats sont utilisés pour calculer explicitement l'énergie libre planaire d'un modèle de matrices avec un potentiel cubique.

La deuxième partie de cette thèse concerne la génération de théories de jauge supersymétriques en quatre dimensions comportant des aspects caractéristiques du modèle standard à partir de
compactifications de la supergravité en onze dimensions sur une variété G_2. Si cette variété contient une singularité conique, des fermions chiraux apparaissent dans la théorie de jauge en quatre dimensions ce qui conduit potentiellement à des anomalies. Nous montrons que, localement à chaque singularité, les anomalies
correspondantes sont annulées par une non-invariance de l'action classique au singularités (``anomaly inflow"). Malheureusement, aucune métrique d'une variété G_2 compacte n'est connue explicitement. Nous construisons ici des familles de métriques sur des variétés compactes faiblement G_2, qui contiennent deux singularités coniques. Les variétés faiblement G_2 ont des propriétés semblables aux propriétés des variétés G_2, et alors ces exemples explicites pourraient être utiles pour mieux comprendre la situation générique. Finalement, nous regardons la
relation entre la supergravité en onze dimensions et la théorie des cordes hétérotiques E_8\times E_8. Nous étudions en détail les anomalies qui apparaissent si la supergravité est formulée sur le produit d'un espace de dix dimensions et un intervalle. Encore une fois nous trouvons que les anomalies s'annulent localement sur
chaque bord de l'intervalle si on modifie l'action classique d'une façon appropriée.
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Wong, Jin-Mann. "Gauge theories and geometry in non-perturbative string theory." Thesis, King's College London (University of London), 2017. https://kclpure.kcl.ac.uk/portal/en/theses/gauge-theories-and-geometry-in-nonperturbative-string-theory(4820d230-9e36-4b13-8ba9-13856b90b858).html.

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The central theme in this thesis is compactifications: reductions of higher dimensional theories to lower dimensions and how the geometry of the compactification manifold determines features of the low energy physics. This is studied in the context of non-perturbative string theory in the framework of M-theory and F-theory. Supersymmetry requires the compactification manifold in F-theory to be an elliptically fibered Calabi-Yau, where the complex structure of the elliptic fibration is identified with the complexified coupling constant in type IIB string theory. The non-perturbative nature of the theory originates from the strong-weak duality of type IIB, which manifests itself as the SL(2;Z) modular transformation of the complex structure. Non-abelian gauge symmetries arise naturally in this framework and engineering Grand Uni ed Theories within F-theory has been an active area of research. Compactifications on Calabi-Yau four-folds give rise to gauge theories with N = 1 supersymmetry in four dimensions coupled to gravity. In the first part of this thesis we focus on abelian gauge symmetries in F-theory, which are essential in SU(5) GUTs for forbidding couplings which result in fast proton decay. These arise from rational sections in the elliptic fibration and from the geometric constraints on these sections one can determine the set of possible U(1) charges of GUT matter representations. Armed with this constrained set of charges we then proceed to study the phenomenology of these abelian gauge symmetries in the context of SU(5) GUT models. We analyse their e ectiveness at suppressing proton decay operators and explore the types of realistic flavour textures that can be generated using the Froggatt-Nielsen mechanism. In the latter part of this thesis the focal point changes to M5-branes, one of the two fundamental objects of M-theory. The theory of multiple M5-branes is known to be a 6d N = (2; 0) superconformal eld theory, of which only the space-time symmetries and abelian equations of motion have been determined. In spite of this, fascinating correspondences have been shown to arise from the reduction of the M5-brane theory to lower dimensions. In particular, supersymmetric observables in the reduced theories capture non-trivial aspects of the geometry of the compactification manifold. The final chapter of this thesis studies the compactification of the 6d N = (2; 0) theory on the two-sphere as a step towards deriving a correspondence related to four-manifolds.
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EDALATI, AHMADSARAEI MOHAMMAD. "TOPICS IN SUPERSYMMETRIC GAUGE THEORIES AND THE GAUGE-GRAVITY DUALITY." University of Cincinnati / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1184947984.

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Lowe, A. P. "Lattice gauge-Higgs theories." Thesis, University of Southampton, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.378268.

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Books on the topic "Gauge theorie"

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Fatibene, Lorenzo. Natural and gauge natural formalism for classical field theorie[s]: A geometric perspective including spinors and gauge theories. Dordrecht: Kluwer Academic, 2002.

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Fatibene, Lorenzo, and Mauro Francaviglia. Natural and Gauge Natural Formalism for Classical Field Theorie. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8.

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1950-, Müller Berndt, ed. Gauge theory of weak interactions. 4th ed. Heidelberg: Springer, 2009.

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Pokorski, Stefan. Gauge field theories. Cambridge: Cambridge University Press, 1987.

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Frampton, Paul H. Gauge field theories. Menlo Park, Calif: Benjamin/Cummings, 1987.

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Pokorski, Stefan. Gauge field theories. Cambridge: Cambridge University Press, 1987.

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Gauge field theories. 2nd ed. New York: Wiley, 2000.

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Gauge field theories. 2nd ed. Cambridge, U.K: Cambridge University Press, 2000.

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Gauge field theories. 3rd ed. Weinheim: Wiley-VCH, 2008.

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A, Shifman Mikhail, ed. Instantons in gauge theories. Singapore: World Scientific, 1994.

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Book chapters on the topic "Gauge theorie"

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Fatibene, Lorenzo, and Mauro Francaviglia. "Gauge Natural Theories." In Natural and Gauge Natural Formalism for Classical Field Theorie, 269–91. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_8.

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Fatibene, Lorenzo, and Mauro Francaviglia. "Gauge Natural Bundles." In Natural and Gauge Natural Formalism for Classical Field Theorie, 125–42. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_5.

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Fatibene, Lorenzo, and Mauro Francaviglia. "Spinor Theories." In Natural and Gauge Natural Formalism for Classical Field Theorie, 325–47. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_10.

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Fatibene, Lorenzo, and Mauro Francaviglia. "Natural Theories." In Natural and Gauge Natural Formalism for Classical Field Theorie, 219–68. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_7.

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Fatibene, Lorenzo, and Mauro Francaviglia. "Fiber Bundles." In Natural and Gauge Natural Formalism for Classical Field Theorie, 9–51. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_1.

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Fatibene, Lorenzo, and Mauro Francaviglia. "Final word." In Natural and Gauge Natural Formalism for Classical Field Theorie, 349–52. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_11.

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Fatibene, Lorenzo, and Mauro Francaviglia. "Jet Bundles." In Natural and Gauge Natural Formalism for Classical Field Theorie, 53–78. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_2.

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Fatibene, Lorenzo, and Mauro Francaviglia. "Principal Bundles and Connections." In Natural and Gauge Natural Formalism for Classical Field Theorie, 79–112. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_3.

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Fatibene, Lorenzo, and Mauro Francaviglia. "Natural Bundles." In Natural and Gauge Natural Formalism for Classical Field Theorie, 113–24. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_4.

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Fatibene, Lorenzo, and Mauro Francaviglia. "The Lagrangian Formalism." In Natural and Gauge Natural Formalism for Classical Field Theorie, 151–217. Dordrecht: Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-2384-8_6.

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Conference papers on the topic "Gauge theorie"

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KIM, SEYONG. "LATTICE GAUGE THEORY OF GAUGED NAMBU–JONA-LASINIO MODEL." In Proceedings of the Fourth International Workshop on Particle Physics and the Early Universe. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812799678_0038.

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Jurčo, B. "Noncommutative gauge theories and Kontsevich’s formality theorem." In NEW DEVELOPMENTS IN FUNDAMENTAL INTERACTION THEORIES: 37th Karpacz Winter School of Theoretical Physics. AIP, 2001. http://dx.doi.org/10.1063/1.1419331.

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Bicudo, Pedro, Daniele Binosi, Nuno Cardoso, Orlando Oliveira, and Paulo Silva. "Gauge fixing and the gluon propagator in renormalizable xi gauges." In The 33rd International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.251.0317.

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Teper, Michael J. "Lattice Field Theory and SU(N) Gauge Theories." In Proceedings of the International School of Subnuclear Physics. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812796653_0001.

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HILLER, JOHN R. "NONPERTURBATIVE SOLUTION OF YUKAWA THEORY AND GAUGE THEORIES." In Proceedings of the Conference. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702326_0044.

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Svetitsky, Benjamin. "Conformal or confining -- results from lattice gauge theory for higher-representation gauge theories." In Xth Quark Confinement and the Hadron Spectrum. Trieste, Italy: Sissa Medialab, 2013. http://dx.doi.org/10.22323/1.171.0271.

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NEKRASOV, NIKITA A. "Localizing gauge theories." In XIVth International Congress on Mathematical Physics. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812704016_0066.

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Petronzio, Roberto. "Lattice gauge theories." In Proceedings of the XXVI international conference on high energy physics. AIP, 1992. http://dx.doi.org/10.1063/1.43496.

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Maas, Axel, and Björn Hendrik Wellegehausen. "G2 gauge theories." In The 30th International Symposium on Lattice Field Theory. Trieste, Italy: Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.164.0080.

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GOLTERMAN, MAARTEN, and YIGAL SHAMIR. "LATTICE CHIRAL GAUGE THEORIES THROUGH GAUGE FIXING." In Proceedings of the 2002 International Workshop. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812795120_0021.

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Reports on the topic "Gauge theorie"

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Parke, Stephen J. Amplitudes in Gauge Theories. Office of Scientific and Technical Information (OSTI), May 2018. http://dx.doi.org/10.2172/1568838.

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Aspinwall, Paul S., and Lukasz M. Fidkowski. Superpotentials for Quiver Gauge Theories. Office of Scientific and Technical Information (OSTI), June 2005. http://dx.doi.org/10.2172/890443.

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Parke, S. J. Hard amplitudes in gauge theories. Office of Scientific and Technical Information (OSTI), March 1991. http://dx.doi.org/10.2172/6094053.

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Tolksdorf, Jurgen. Gauge Theories with Spontaneously Broken Gauge Symmetry, Connections and Dirac Operators. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-141-162.

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H. Qin, W. M. Tang, and W. W. Lee. Gyrocenter-gauge kinetic theory. Office of Scientific and Technical Information (OSTI), August 2000. http://dx.doi.org/10.2172/759298.

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Schmaltz, Martin. New Constraints on Chiral Gauge Theories. Office of Scientific and Technical Information (OSTI), April 1999. http://dx.doi.org/10.2172/10074.

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Brodsky, Stanley J. Gauge Theories on the Light-Front. Office of Scientific and Technical Information (OSTI), February 2003. http://dx.doi.org/10.2172/812634.

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Hellerman, Simeon. Lattice Gauge Theories Have Gravitational Duals. Office of Scientific and Technical Information (OSTI), September 2002. http://dx.doi.org/10.2172/801802.

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Brodsky, Stanley J. Light-Front Quantization of Gauge Theories. Office of Scientific and Technical Information (OSTI), March 2003. http://dx.doi.org/10.2172/812973.

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Craig, Nathaniel, Rouven Essig, Anson Hook, and Gonzalo Torroba. New Dualities in Supersymmetric Chiral Gauge Theories. Office of Scientific and Technical Information (OSTI), August 2011. http://dx.doi.org/10.2172/1022538.

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