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Dissertations / Theses on the topic 'Yang-Mills theory; Gauge theory'

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Published: 4 June 2021

Last updated: 12 February 2022

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1

Gongyo, Shinya. "The Gribov problem beyond Landau gauge Yang-Mills theory." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199098.

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2

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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3

Grosse, Harald, Thomas Krajewski, Raimar Wulkenhaar, and grosse@doppler thp univie ac at. "Renormalization of Noncommutative Yang-Mills Theories: A Simple Example." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi914.ps.

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4

Slater, Matthew J. "Instanton effects in supersymmetric SU(N) gauge theories." Thesis, Durham University, 1998. http://etheses.dur.ac.uk/4812/.

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We investigate nonperturbative effects due to instantons in N = 2 supersymmetric SU(N) Yang-Mills models, with the aim of testing the exact results predicted for these models. In two separate semiclassical calculations we obtain the one-instanton contribution to the Higgs condensate u(_3) = (TrA(^3)) and to the prepotential F. Comparing our results with the exact predictions, we find complete agreement except when the number of flavours of fundamental matter hypermultiplets, N(_f), takes certain values. The source of the u(_3) discrepancy is an ambiguity in the parameterization of the hyperell

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5

Trocsanyi, Zoltan L. "Three-loop renormalization of Yang-Mills theory in background field gauge." Diss., Virginia Tech, 1990. http://hdl.handle.net/10919/39413.

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6

Mariani, Alessandro. "Finite-group Yang-Mills lattice gauge theories in the Hamiltonian formalism." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amslaurea.unibo.it/21183/.

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Nuovi sviluppi nel campo nelle tecniche sperimentali potrebbero presto permettere la realizzazione di simulatori quantistici, ovvero di sistemi quantomeccanici realizzabili sperimentalmente che descrivano una specifica Hamiltoniana di nostra scelta. Una volta costruito il sistema, si possono effettuare esperimenti per studiare il comportamento della teoria descritta dall'Hamiltoniana scelta. Un'interessante applicazione riguarda le teorie di gauge non-Abeliane come la Cromodinamica Quantistica, per le quali si hanno un certo numero di problemi irrisolti, in particolare nella regione a potenzia

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7

陶福臻 and Fook-tsun To. "Soliton solutions to gravitational field and Yang-Mills gauge field." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1993. http://hub.hku.hk/bib/B31233910.

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8

To, Fook-tsun. "Soliton solutions to gravitational field and Yang-Mills gauge field /." [Hong Kong : University of Hong Kong], 1993. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13671728.

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9

Kovalev, Alexei Gennadievich. "The geometry of dimensionally reduced anti-self-duality equations." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282324.

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10

Alvarez, José Luis Alejo. "Electric-magnetic duality in N = 2 supersymmetric gauge theory /." São Paulo, 2015. http://hdl.handle.net/11449/154699.

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Orientador: Nathan Jacob Berkovits<br>Banca: Horatiu Stefan Nastase<br>Banca: Diego Trancanelli<br>Resumo: Nesta dissertação apresentamos uma descrição da dualidade elétrica-magnética e seus aspectos clássicos e quânticos. Nosso análise se inicia com os monopolos magéticos sugeridos por Dirac em 1931[1] e vai até o trabalho do Seiberg e Witten em 1994 [27]. Na descrição clássica, precisamos introduzir os monopolos magnéticos a ﬁm de obter a dualidade elétrica-magnética manifesta. Mais tarde, a origem dos monopolos se mais torna mais clara quando começamos com uma teoria de Yang-Mills. Os aspec

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11

Alvarez, José Luis Alejo [UNESP]. "Electric-magnetic duality in N = 2 supersymmetric gauge theory." Universidade Estadual Paulista (UNESP), 2015. http://hdl.handle.net/11449/154699.

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Made available in DSpace on 2018-07-27T18:26:08Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-09-04. Added 1 bitstream(s) on 2018-07-27T18:30:19Z : No. of bitstreams: 1 000866848.pdf: 631406 bytes, checksum: 951f24cae0a92bf26987f68a9faaef16 (MD5)<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)<br>Nesta dissertação apresentamos uma descrição da dualidade elétrica-magnética e seus aspectos clássicos e quânticos. Nosso análise se inicia com os monopolos magéticos sugeridos por Dirac em 1931[1] e vai até o trabalho do Seiberg e Witten em 1994 [27]. Na descrição cl

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12

Slizovskiy, Sergey. "Yang-Mills Theory in Gauge-Invariant Variables and Geometric Formulation of Quantum Field Theories." Doctoral thesis, Uppsala universitet, Teoretisk fysik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-129670.

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In Part I we are dealing with effective description of Yang-Mills theories based on gauge-invarint variables. For pure Yang-Mills we study the spin-charge separation varibles. The dynamics in these variables resembles the Skyrme-Faddeev model. Thus the spin-charge separation is an important intermediate step between the fundamental Yang-Mills theory and the low-energy effective models, used to model the low-energy dynamics of gluons. Similar methods may be useful for describing the Electroweak sector of the Standard Model in terms of gauge-invariant field variables called supercurrents. We stu

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13

Jones, Martyna Maria. "Form factors and scattering amplitudes in supersymmetric gauge theories." Thesis, Queen Mary, University of London, 2018. http://qmro.qmul.ac.uk/xmlui/handle/123456789/53582.

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The study of scattering amplitudes in the maximally supersymmetric Yang-Mills theory (N = 4 SYM) is a thriving field of research. Since the reformulation of perturbative gauge theory as a twistor string theory by Witten, this area has witnessed a flurry of activity, leading to the discovery of a multitude of novel techniques, such as recursion relations and MHV diagrams, collectively referred to as on-shell methods. In parallel, many previously hidden properties and rich mathematical structures have been found, a powerful example of such being the dual superconformal symmetry. It is natural to

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14

Lumia, Luca. "Digital quantum simulations of Yang-Mills lattice gauge theories." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/22355/.

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I metodi di calcolo tradizionali per le teorie di gauge su reticolo risultano problematici in regioni di diagrammi di fase a grandi valori del potenziale chimico o quando sono utilizzate per riprodurre la dinamica in tempo reale di un modello. Tali problemi possono essere evitati da simulazioni quantistiche delle teorie di gauge su reticolo, le quali stanno diventando sempre più riproducibili sperimentalmente, grazie ai recenti progressi tecnologici. In questa tesi formuliamo una versione delle teorie di Yang-Mills su reticolo appropriata per risolvere il problema della dimensione infinita del

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15

Endres, Michael G. "Topics in lattice field theory /." Thesis, Connect to this title online; UW restricted, 2007. http://hdl.handle.net/1773/9713.

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16

Stiffler, Kory M. "A walk through superstring theory with an application to Yang-Mills theory: k-strings and D-branes as gauge/gravity dual objects." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/744.

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Superstring theory is one current, promising attempt at unifying gravity with the other three known forces: the electromagnetic force, and the weak and strong nuclear forces. Though this is still a work in progress, much effort has been put forth toward this goal. A set of specific tools which are used are gauge/gravity dualities. This thesis consists of a specific implementation of gauge/gravity dualities to describe k-strings of strongly coupled gauge theories as objects dual to Dpbranes embedded in confining supergravity backgrounds from low energy superstring field theory. Along with super

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17

Tavares, Gustavo Marques. "Instantons em espaços curvos." [s.n.], 2010. http://repositorio.unicamp.br/jspui/handle/REPOSIP/277048.

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Orientador: Ricardo Antonio Mosna<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin<br>Made available in DSpace on 2018-09-24T14:09:39Z (GMT). No. of bitstreams: 1 Tavares_GustavoMarques_M.pdf: 695474 bytes, checksum: c437bafa3afb0c0768437e1a139eea12 (MD5) Previous issue date: 2010<br>Resumo: Neste trabalho estudamos os instantons da teoria de Yang-Mills nos espaços de Schwarzs-child e de Reissner-Nordstrom com grupo de gauge SU(2).Instantons são soluções clássicas da teoria de Yang-Mills definida em um espaço com métrica riemanniana (positiva-

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18

Necco, Silvia. "The static quark potential and scaling behavior of SU(3) lattice Yang-Mills theory." Doctoral thesis, [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=96870672X.

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19

Bibireata, Daniel. "Super Yang-Mills theories on the lattice." Connect to this title online, 2005. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1117586284.

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Thesis (Ph. D.)--Ohio State University, 2005.<br>Title from first page of PDF file. Document formatted into pages; contains x, 94 p.; also includes graphics Includes bibliographical references (p. 52-54). Available online via OhioLINK's ETD Center

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20

Nolland, David John. "Quantum field theories with fermions in the Schrödinger representation." Thesis, Durham University, 2000. http://etheses.dur.ac.uk/4410/.

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This thesis is concerned with the Schrödinger representation of quantum field theory. We describe techniques for solving the Schrödinger equation which supplement the standard techniques of field theory. Our aim is to develop these to the point where they can readily be used to address problems of current interest. To this end, we study realistic models such as gauge theories coupled to dynamical fermions. For maximal generality we consider particles of all physical spins, in various dimensions, and eventually, curved spacetimes. We begin by considering Gaussian fields, and proceed to a detail

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21

Schuster, Theodor. "Scattering amplitudes in four- and six-dimensional gauge theories." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2014. http://dx.doi.org/10.18452/17034.

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Streuamplituden der Quantenchromodynamik (QCD), N = 4 Super-Yang-Mills-Theorie (SYM-Theorie) und der sechsdimensionalen N = (1, 1) SYM-Theorie werden untersucht, mit einem Fokus auf die Symmetrien und Relationen zwischen den Streuamplituden dieser Eichtheorien auf dem Baum-Niveau. Die Baum-Niveau- und Ein-Schleifen-Farbzerlegung beliebiger QCD-Amplituden in primitive Amplituden wird bestimmt und Identitäten hergeleitet, welche den Nullraum unter den primitiven Amplituden aufspannen. Anschließend wird bewiesen, dass alle farbgeordneten Baum-Niveau-Amplituden der masselosen QCD aus der N = 4 SYM

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22

De, Martino Marcelo Gonçalves 1986. "Teoria de calibre em dimensões dois e quatro." [s.n.], 2011. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306013.

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Orientador: Marcos Benevenuto Jardim<br>Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica<br>Made available in DSpace on 2018-08-19T09:52:31Z (GMT). No. of bitstreams: 1 DeMartino_MarceloGoncalves_M.pdf: 1604556 bytes, checksum: be41ad6ca9fd66921624adce95bf0939 (MD5) Previous issue date: 2012<br>Resumo: Este trabalho procurou apresentar os conhecimentos básicos necessários para trabalhar com a teoria de calibre em baixas dimensões e também mostrar algumas aplicações da mesma. Na parte básica da teoria, além de comentar as

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23

Engquist, Johan. "Dualities, Symmetries and Unbroken Phases in String Theory : Probing the Composite Nature of the String." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-5902.

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24

Austing, Peter. "Yang-Mills matrix theory." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.365336.

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25

Contatto, Felipe. "Vortices, Painlevé integrability and projective geometry." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/275099.

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GaugThe first half of the thesis concerns Abelian vortices and Yang-Mills theory. It is proved that the 5 types of vortices recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a natural definition of their kinetic energy and thus the metric of the moduli space was calculated by the Samols' localisation method. Then, a modified version of the Abelian–Higgs model

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26

Peng, Zongren. "Topics in N = Yang-Mills theory." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2012. http://tel.archives-ouvertes.fr/tel-00834200.

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Cette thèse décrit quelques développements dans les techniques de calcul des amplitudes de diffusion en théorie supersymétrique de champ de jauge . L'accent est mis sur les relations de récurrence on-shell et sur l'utilisation de méthodes d'unitarité pour des calculs de boucle. En particulier, la récurrence on-shell est liée aux règles BCFW pour calculer les amplitudes de jauge au niveau des arbres. Les combinaisons de techniques de coupe d'unitarité et la récurrence sont utilisées pour calculer les amplitudes de boucle, et finalement, à partir des amplitudes, pour obtenir la fonction de corré

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27

Hong, Ying-Ji. "Adiabatic limits in Yang-Mills theory." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.337735.

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28

Barnich, Glenn. "Local BRST cohomology in Yang-Mills theory." Doctoral thesis, Universite Libre de Bruxelles, 1995. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212605.

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29

Svensk, Linnea. "Localization Techniques, Yang-Mills Theory and Strings." Thesis, Uppsala universitet, Teoretisk fysik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-280740.

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Equivariant localization techniques exploit symmetries of systems, represented by group actions on manifolds, and use them to evaluate certain partition functions exactly. In this master thesis we begin with the study of localization in finite dimensions. We then generalize this concept to infinite dimensions and study the partition function of two dimensional quantum Yang- Mills theory and its relation to string theory. The partition function can be written as a sum over the critical point set and be related to the topology of the moduli space of flat connections. Furthermore, for large N the

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30

Sieg, Christoph. "Aspects of noncommutativity and holography in field theory and string theory." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=974396095.

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31

Barresi, Andrea. "SO(3) Yang-Mills theory on the lattice." Doctoral thesis, [S.l.] : [s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=968943675.

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32

Jiang, Wen. "Aspects of Yang-Mills theory in twistor space." Thesis, University of Oxford, 2008. http://ora.ox.ac.uk/objects/uuid:4f6bc303-e8d9-4004-ab90-56b85cd917c0.

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This thesis carries out a detailed investigation of the action for pure Yang-Mills theory which L. Mason formulated in twistor space. The rich structure of twistor space results in greater gauge freedom compared to the theory in ordinary space-time. One particular gauge choice, the CSW gauge, allows simplifications to be made at both the classical and quantum level. The equations of motion have an interesting form in the CSW gauge, which suggests a possible solution procedure. This is explored in three special cases. Explicit solutions are found in each case and connections with earlier work a

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33

Sikorowski, Jakub. "Correlation functions in maximally supersymmetric Yang-Mills theory." Thesis, University of Oxford, 2015. https://ora.ox.ac.uk/objects/uuid:1257e3bc-5f1d-4896-8859-a5544ce8ac97.

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In this thesis we consider the planar maximally supersymmetric Yang-Mills theory. First, we look at the correlation function of a null Wilson loop with four edges and a local operator at weak coupling. We use the Lagrangian insertion technique to find the integral representation up to two loops. Performing the integrals with a method closely linked to the dual space formalism for the scattering amplitudes, we explicitly compute the two loop result. We demonstrate the connection between the calculated observable and the cusp anomalous dimension by recovering the three loop value of the cusp ano

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34

Yildirim, Tuna. "Topologically massive Yang-Mills theory and link invariants." Diss., University of Iowa, 2014. https://ir.uiowa.edu/etd/1519.

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In this thesis, topologically massive Yang-Mills theory is studied in the framework of geometric quantization. This theory has a mass gap that is proportional to the topological mass m. Thus, Yang-Mills contribution decays exponentially at very large distances compared to 1/m, leaving a pure Chern-Simons theory with level number k. The focus of this research is the near Chern-Simons limit of the theory, where the distance is large enough to give an almost topological theory, with a small contribution from the Yang-Mills term. It is shown that this almost topological theory consists of two copi

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35

Wagner, Marc. "The pseudoparticle approach in SU(2) Yang-Mills theory." [S.l.] : [s.n.], 2006. http://deposit.ddb.de/cgi-bin/dokserv?idn=980706645.

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36

Wren, Ken Kangda. "Constrained quantization of Yang-Mills theory via Rieffel induction." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.411178.

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37

Freyhult, Lisa. "Aspects of Yang-Mills Theory : Solitons, Dualities and Spin Chains." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-4498.

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38

Lundin, Jim. "Electromagnetic Duality in SO(3) Yang-Mills Theory : Bachelor Thesis." Thesis, Uppsala universitet, Teoretisk fysik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-354716.

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We introduce the historical context and motivation for the search for magnetic monopoles or monopole-like objects. Beginning the theoretical part we investigate the properties of groups as they relate to symmetries in physical theories. Using this as a basis we investigate the requirements for global and local gauge invariance for a scalar field, the latter giving the non-trivial connection to a gauge field. From this we present the Georgi-Glashow model and develop its particle spectrum using the connected Higgs field and its associated Higgs mechanism. We then present the electromagnetic dual

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39

Efremov, Alexander. "Renormalization of SU(2) Yang-Mills theory with flow equations." Thesis, Université Paris-Saclay (ComUE), 2017. http://www.theses.fr/2017SACLX050/document.

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L'objectif de ce travail est une construction perturbative rigoureuse de la théorie de la Yang-Mills SU(2) dans l'espace euclidien à quatre dimensions. La technique d'intégration fonctionnelle donne une basemathématique pour établir les équations de flot différentielles du groupe de renormalisation pour l'action efficace. Si l'introduction de régulateurs dans l'espace de moments permet de donner une définition mathématique des fonctions de Schwinger, la difficulté importante de l'approche est le fait que cesrégulateurs brisent l'invariance de jauge. Ainsi, le travail principal est alors de pro

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Guo, Bin. "Lollipop diagrams in defect N=4 super Yang-Mills theory." Thesis, University of British Columbia, 2017. http://hdl.handle.net/2429/62717.

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In this thesis, we have studied the lollipop diagrams in defect $\mathcal{N}$=4 super Yang-Mills field theory with nontrivial background, which is dual to the D3-D5 brane system with the probe D5 brane carrying k units of flux. Using the framework for performing loop computations for this system built by Buhl-Mortensen, Leeuw, Ipsen, Kristjansen and Wilhelm, we prove that for arbitrary N and k, the contribution of the lollipop diagrams to the one-point function is zero. This improves their result, where they take the planar limit N>>1 and the probe brane limit k/N<<1.<br>Science, Faculty of<br

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Brits, Lionel. "Hamiltonian treatment of the (2+1)-dimensional Yang-Mills theory." Thesis, University of British Columbia, 2007. http://hdl.handle.net/2429/31435.

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The (2+l)-dimensional Yang-Mills theory is studied in the functional Schrödinger formalism using the machinery laid out by Karabali and Nair. The low-lying spectrum of the theory is computed by analyzing correlators of the Leigh-Minic-Yelnikov ground-state wave-functional in the Abelian limit. The contribution of the WZW measure is treated by a controlled approximation and the resulting spectrum is shown to reduce to that obtained by Leigh et al., at large momentum. The inclusion of fundamental Fermions is done from first-principles, and it is found that the requirement of gauge invariance sp

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42

Ohki, Hiroshi. "Chiral four dimensional field theory from superstring and higher dimensional super Yang-Mills theory." 京都大学 (Kyoto University), 2010. http://hdl.handle.net/2433/120647.

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43

Tennert, Oliver. "Vortex condensation and confinement in centre projected lattice Yang-Mills theory." [S.l. : s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=963188941.

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44

Barrett, John William. "The holonomy description of classical Yang-Mills theory and general relativity." Thesis, Imperial College London, 1985. http://hdl.handle.net/10044/1/37629.

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45

Monteiro, Gustavo Machado [UNESP]. "MHV tree amplitudes in super-Yang-Mills and in superstring theory." Universidade Estadual Paulista (UNESP), 2010. http://hdl.handle.net/11449/99169.

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Made available in DSpace on 2014-06-11T19:29:50Z (GMT). No. of bitstreams: 0 Previous issue date: 2010-05-21Bitstream added on 2014-06-13T20:47:16Z : No. of bitstreams: 1 monteiro_gm_me_ift.pdf: 337936 bytes, checksum: ea2742967e22f6ceedb3f47bd956fbfb (MD5)<br>Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)<br>A presente dissertação trata-se de uma revisão sobre amplitudes MHV na teoria de Yang-Mills e em sua extensão maximalmente supersimétrica. A demonstração da fórmula geral para tais amplitudes é dada no terceiro capítulo. Uma vez que o formalismo de twistors se apre

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Monteiro, Gustavo Machado. "MHV tree amplitudes in super-Yang-Mills and in superstring theory /." São Paulo : [s.n.], 2010. http://hdl.handle.net/11449/99169.

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Orientador: Nathan Jacob Berkovits<br>Banca: Horatiu Stefan Nastase<br>Banca: Vladimir Demyanovich Pershin<br>Resumo: A presente dissertação trata-se de uma revisão sobre amplitudes MHV na teoria de Yang-Mills e em sua extensão maximalmente supersimétrica. A demonstração da fórmula geral para tais amplitudes é dada no terceiro capítulo. Uma vez que o formalismo de twistors se apresenta como um interessante arcabouço teórico para o estudo de tais amplitudes, uma discussão sobre o mesmo e considerada, bem como sua extensão supersimétrica. Ao final, o cálculo de quatro e cinco pontos para amplitu

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47

Warrick, Edmund. "A canonical basis approach to unitarity calculations in Yang-Mills theories." Thesis, Swansea University, 2011. https://cronfa.swan.ac.uk/Record/cronfa43123.

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A Canonical Basis m ethod is presented for computing the cut-constructible parts of loop amplitudes in massless Yang-Mills theory by generalised Unitarity. The method relies upon constructing a canonical basis of general cut solutions and constructing the amplitude by identifying the integral coefficients with elements of the canonical basis, thereby avoiding repeated integration of similar integrand structures. The method provides closed, rational, fully analytic expressions for the integral coefficients. As an application the m ethod is applied to compute the previously unknown NMHV partial

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48

Peetz, Roland. "Spectrum of N=1 super Yang Mills theory on the lattice with a light gluino." [S.l.] : [s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=97018249X.

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49

Wainwright, P. R. "Nahm's equation and the search for classical solutions in Yang-Mills theory." Thesis, Durham University, 1987. http://etheses.dur.ac.uk/6652/.

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Abstract:

The history of the theory of magnetic monopoles in classical electrodynamics and unified gauge theories is reviewed, and the Atiyah-Ward and Atiyah-Drinfe1d-Hitchin-Man in constructions of exact classical solutions to the self-dual Yang-Mills equations are described. It is shown that the one-dimensional self-dual equation introduced by Nahm can be reformulated as a Rieraann-Hi1bert problem through the twister transform previously used by Ward for monopole and instanton fields, and a general formula for the patching matrix is derived. This is evaluated in some special cases, and a few simple ex

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50

Eden, Burkhard. "Correlation functions in N=2 and N=4 supersymmetric Yang-Mills theory." Thesis, King's College London (University of London), 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.312972.

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