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Автор: Grafiati

Опубліковано: 14 березня 2023

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Статті в журналах з теми "Gauge theory on noncommutative spaces"

Madore, J., S. Schraml, P. Schupp, and J. Wess. "Gauge theory on noncommutative spaces." European Physical Journal C 16, no. 1 (August 2000): 161–67. http://dx.doi.org/10.1007/s100520050012.

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Manolakos, George, Pantelis Manousselis, Danai Roumelioti, Stelios Stefas, and George Zoupanos. "A Matrix Model of Four-Dimensional Noncommutative Gravity." Universe 8, no. 4 (March 28, 2022): 215. http://dx.doi.org/10.3390/universe8040215.

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In this review, we revisit our latest works regarding the description of the gravitational interaction on noncommutative spaces as matrix models. Specifically, inspired by the gauge-theoretic approach of (ordinary) gravity, we make use of the suggested methodology, modified appropriately for the noncommutative framework, of the well-established formulation of gauge theories on them. Making use of a covariant four-dimensional fuzzy space, we formulate the gauge theory with an extended gauge group due to noncommutativity. In turn, in order to decrease the amount of symmetry we employ a symmetry breaking and result with an action which describes a theory that is a minimal noncommutative extension of the original.

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DIMITRIJEVIĆ, MARIJA, and LARISA JONKE. "TWISTED SYMMETRY AND NONCOMMUTATIVE FIELD THEORY." International Journal of Modern Physics: Conference Series 13 (January 2012): 54–65. http://dx.doi.org/10.1142/s2010194512006733.

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Although the meaning of twisted symmetry is still not fully understood, the twist approach has its advantages in the construction of field theories on noncommutative spaces. We discuss these advantages on the example of κ-Minkowski space-time. We construct the noncommutative U(1) gauge field theory. Especially the action is written as an integral of a maximal form, thus solving the cyclicity problem of the integral in κ-Minkowski. Using the Seiberg-Witten map to relate noncommutative and commutative degrees of freedom the effective action with the first order corrections in the deformation parameter is obtained.

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Manolakos, George, Pantelis Manousselis, and George Zoupanos. "Gauge Theories: From Kaluza–Klein to noncommutative gravity theories." Symmetry 11, no. 7 (July 2, 2019): 856. http://dx.doi.org/10.3390/sym11070856.

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First, the Coset Space Dimensional Reduction scheme and the best particle physics model so far resulting from it are reviewed. Then, a higher-dimensional theory in which the extra dimensions are fuzzy coset spaces is described and a dimensional reduction to four-dimensional theory is performed. Afterwards, another scheme including fuzzy extra dimensions is presented, but this time the starting theory is four-dimensional while the fuzzy extra dimensions are generated dynamically. The resulting theory and its particle content is discussed. Besides the particle physics models discussed above, gravity theories as gauge theories are reviewed and then, the whole methodology is modified in the case that the background spacetimes are noncommutative. For this reason, specific covariant fuzzy spaces are introduced and, eventually, the program is written for both the 3-d and 4-d cases.

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Besnard, F., and S. Farnsworth. "Particle models from special Jordan backgrounds and spectral triples." Journal of Mathematical Physics 63, no. 10 (October 1, 2022): 103505. http://dx.doi.org/10.1063/5.0107136.

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We put forward a definition for spectral triples and algebraic backgrounds based on Jordan coordinate algebras. We also propose natural and gauge-invariant bosonic configuration spaces of fluctuated Dirac operators and compute them for general, almost-associative, Jordan, coordinate algebras. We emphasize that the theory so obtained is not equivalent with usual associative noncommutative geometry, even when the coordinate algebra is the self-adjoint part of a C*-algebra. In particular, in the Jordan case, the gauge fields are always unimodular, thus curing a long-standing problem in noncommutative geometry.

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Cirio, Lucio S., Giovanni Landi, and Richard J. Szabo. "Instantons and vortices on noncommutative toric varieties." Reviews in Mathematical Physics 26, no. 09 (October 2014): 1430008. http://dx.doi.org/10.1142/s0129055x14300088.

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We elaborate on the quantization of toric varieties by combining techniques from toric geometry, isospectral deformations and noncommutative geometry in braided monoidal categories, and the construction of instantons thereon by combining methods from noncommutative algebraic geometry and a quantized twistor theory. We classify the real structures on a toric noncommutative deformation of the Klein quadric and use this to derive a new noncommutative four-sphere which is the unique deformation compatible with the noncommutative twistor correspondence. We extend the computation of equivariant instanton partition functions to noncommutative gauge theories with both adjoint and fundamental matter fields, finding agreement with the classical results in all instances. We construct moduli spaces of noncommutative vortices from the moduli of invariant instantons, and derive corresponding equivariant partition functions which also agree with those of the classical limit.

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CHAMSEDDINE, ALI H. "COMPLEX GRAVITY AND NONCOMMUTATIVE GEOMETRY." International Journal of Modern Physics A 16, no. 05 (February 20, 2001): 759–66. http://dx.doi.org/10.1142/s0217751x01003883.

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The presence of a constant background antisymmetric tensor for open strings or D-branes forces the space-time coordinates to be noncommutative. An immediate consequence of this is that all fields get complexified. By applying this idea to gravity one discovers that the metric becomes complex. Complex gravity is constructed by gauging the symmetry U(1, D-1). The resulting action gives one specific form of nonsymmetric gravity. In contrast to other theories of nonsymmetric gravity the action is both unique and gauge invariant. It is argued that for this theory to be consistent one must prove the existence of generalized diffeomorphism invariance. The results are easily generalized to noncommutative spaces.

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CASTRO, CARLOS. "THE CLIFFORD SPACE GEOMETRY OF CONFORMAL GRAVITY AND U(4) × U(4) YANG–MILLS UNIFICATION." International Journal of Modern Physics A 25, no. 01 (January 10, 2010): 123–43. http://dx.doi.org/10.1142/s0217751x1004752x.

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It is shown how a conformal gravity and U (4) × U (4) Yang–Mills grand unification model in four dimensions can be attained from a Clifford gauge field theory in C-spaces (Clifford spaces) based on the (complex) Clifford Cl (4, C) algebra underlying a complexified four-dimensional space–time (eight real dimensions). Upon taking a real slice, and after symmetry breaking, it leads to ordinary gravity and the Standard Model in four real dimensions. A brief conclusion about the noncommutative star-product deformations of this Grand Unified Theory of gravity with the other forces of Nature is presented.

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Morvan, Xavier. "A noncommutative generalization of Thurston’s gluing equations." International Journal of Mathematics 28, no. 12 (November 2017): 1750089. http://dx.doi.org/10.1142/s0129167x17500896.

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In his famous Princeton Notes, Thurston introduced the so-called gluing equations defining the deformation variety. Later, Kashaev defined a noncommutative ring from H-triangulations of 3-manifolds and observed that for trefoil and figure-eight knot complements the abelianization of this ring is isomorphic to the ring of regular functions on the deformation variety, Kashaev, [Formula: see text]-groupoids in knot theory, Geom. Dedicata 150(1) (2010) 105–130; Kashaev, Noncommutative teichmüller spaces and deformation varieties of knot completeness; Kashaev, Delta-groupoids and ideal triangulation in Chern–Simons gauge theory: 20 Years After, AMS/IP Studies Advanced Mathematics, Vol. 50 (American Mathematical Society, RI, 2011). In this paper, we prove that this is true for any knot complement in a homology sphere. We also analyze some examples on other manifolds.

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LIZZI, FEDELE. "STRINGS, NONCOMMUTATIVE GEOMETRY AND THE SIZE OF THE TARGET SPACE." International Journal of Modern Physics A 14, no. 28 (November 10, 1999): 4501–17. http://dx.doi.org/10.1142/s0217751x99002116.

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We describe how the presence of the antisymmetric tensor (torsion) on the world sheet action of string theory renders the size of the target space a gauge noninvariant quantity. This generalizes the R ↔ 1/R symmetry in which momenta and windings are exchanged, to the whole O(d,d,ℤ). The crucial point is that, with a transformation, it is possible always to have all of the lowest eigenvalues of the Hamiltonian to be momentum modes. We interpret this in the framework of noncommutative geometry, in which algebras take the place of point spaces, and of the spectral action principle for which the eigenvalues of the Dirac operator are the fundamental objects, out of which the theory is constructed. A quantum observer, in the presence of many low energy eigenvalues of the Dirac operator (and hence of the Hamiltonian) will always interpreted the target space of the string theory as effectively uncompactified.

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Дисертації з теми "Gauge theory on noncommutative spaces"

Bizi, Nadir. "Semi-riemannian noncommutative geometry, gauge theory, and the standard model of particle physics." Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS413/document.

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Dans cette thèse, nous nous intéressons à la géométrie non-commutative - aux triplets spectraux en particulier - comme moyen d'unifier gravitation et modèle standard de la physique des particules. Des triplets spectraux permettant une telle unification on déjà été construits dans le cas des variétés riemanniennes. Il s'agit donc ici de généraliser au cas des variétés semi-riemanniennes, et d'appliquer ensuite au cas lorentzien, qui est d'une importance particulière en physique. C'est ce que nous faisons dans la première partie de la thèse, ou le passage du cas riemannien au cas semi-riemannien nous oblige à nous intéresser à des espaces vectoriels de signatures indéfinies (et non définies positives), dits espaces de Krein. Ceci est une conséquence de notre étude des algèbres de Clifford indéfinies et des structures Spin sur variétés semi-riemanniennes. Nous généralisons ensuite les triplets spectraux en triplets dits indéfinis en conséquence de cela. Dans la deuxième partie de la thèse, nous appliquons le formalisme des formes différentielles non-commutatives à nos triplets indéfinis pour formuler des théories de jauge non-commutatives sur espace-temps lorentzien. Nous montrons ensuite comment obtenir le modèle standard
The subject of this thesis is noncommutative geometry - more specifically spectral triples - and how it can be used to unify General Relativity with the Standard Model of particle physics. This unification has already been achieved with spectral triples for Riemannian manifolds. The main concern of this thesis is to generalize this construction to semi-Riemannian manifolds generally, and Lorentzian manifolds in particular. The first half of this thesis will thus be dedicated to the transition from Riemannian to semi-Riemannian manifolds. This entails a study of Clifford algebras for indefinite vector spaces and Spin structures on semi-Riemannian manifolds. An important consequence of this is the introduction of complex vector spaces of indefinite signature. These are the so-called Krein spaces, which will enable us to generalize spectral triples to indefinite spectral triples. In the second half of this thesis, we will apply the formalism of noncommutative differential forms to indefinite spectral triples to construct noncommutative gauge theories on Lorentzian spacetimes. We will then demonstrate how to recover the Standard Model

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Meyer, Frank. "Gauge-Field Theories and Gravity on Noncommutative Spaces." Diss., lmu, 2006. http://nbn-resolving.de/urn:nbn:de:bvb:19-53357.

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Behr, Wolfgang. "Noncommutative Gauge Theory beyond the Canonical Case." Diss., lmu, 2005. http://nbn-resolving.de/urn:nbn:de:bvb:19-44251.

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Möller, Lutz. "Noncommutative gauge theory and the kappa-deformed spacetime." Diss., lmu, 2004. http://nbn-resolving.de/urn:nbn:de:bvb:19-23608.

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Mielke, Thomas Martin. "Mapping spaces, configuration spaces and gauge theory." Thesis, University of Warwick, 1995. http://wrap.warwick.ac.uk/109201/.

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The present thesis considers the space of connections modulo based gauge equivalence on a principal SU(2) bundle over a closed simply-connected smooth four-dimensional manifold M. Up to homotopy equivalence, this is the space of basepoint-preserving maps from M to BSU('2), the classifying space of SU(2). It depends only on the homotopy type of M which is characterized by the intersection form. The Z/pZ-homology of the mapping space for p a prime not equal to 3 is computed and given in terms of the data associated to the intersection form. For the prime 3, partial results are obtained. The main method is to consider a fibration associated to a CW decomposition of M and to show that the corresponding Eilenberg- Moore spectral sequence collapses. These results generalize from manifolds to spaces homotopy equivalent to a bouquet of 2-spheres with a single 4-cell attached. For the possible homotopy types the space of connections modulo gauge equivalence ran attain, a classification is obtained in the following sense. The homotopy type of this space is uniquely determined by the rank, type and signature modulo eight of the intersection form. On the other hand, the homotopy type determines the rank, type and signature modulo four of the intersection form. Both results together give a complete classification for the case of spin manifolds. The homotopy types of the spaces of connections modulo gauge equivalence over two spin manifolds agree if and only if the intersection forms are of the same rank. These results use a classification of unimodular bilinear forms over the ring Z/4Z. In a final part, a map is constructed from the labelled configuration spaces of points in the manifold to the mapping space. This map is shown to be asymptotically surjective in homology with Z/2Z-coefficients. For homology with general coefficients, classes are constructed which are not approximated by this map.

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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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Sykora, Andreas. "The application of star-products to noncommutative geometry and gauge theory." Diss., lmu, 2004. http://nbn-resolving.de/urn:nbn:de:bvb:19-28937.

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Volkholz, Jan. "Nonperturbative studies of quantum field theories on noncommutative spaces." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2007. http://dx.doi.org/10.18452/15712.

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Diese Arbeit befasst sich mit Quantenfeldtheorien auf nicht-kommutativen Räumen. Solche Modelle treten im Zusammenhang mit der Stringtheorie und mit der Quantengravitation auf. Ihre nicht-störungstheoretische Behandlung ist üblicherweise schwierig. Hier untersuchen wir jedoch drei nicht-kommutative Quantenfeldtheorien nicht-perturbativ, indem wir die Wirkungsfunktionale in eine äquivalente Matrixformulierung übersetzen. In der Matrixdarstellung kann die jeweilige Theorie dann numerisch behandelt werden. Als erstes betrachten wir ein regularisiertes skalares Modell auf der nicht-kommutativen Ebene und untersuchen den Kontinuumslimes bei festgehaltener Nicht-Kommutativität. Dies wird auch als Doppelskalierungslimes bezeichnet. Insbesondere untersuchen wir das Verhalten der gestreiften Phase. Wir finden keinerlei Hinweise auf die Existenz dieser Phase im Doppelskalierungslimes. Im Anschluss daran betrachten wir eine vier-dimensionale U(1) Eichtheorie. Hierbei sind zwei der räumlichen Richtungen nicht-kommutativ. Wir untersuchen sowohl die Phasenstruktur als auch den Doppelskalierungslimes. Es stellt sich heraus, dass neben den Phasen starker und schwacher Kopplung eine weitere Phase existiert, die gebrochene Phase. Dann bestätigen wir die Existenz eines endlichen Doppelskalierungslimes, und damit die Renormierbarkeit der Theorie. Weiterhin untersuchen wir die Dispersionsrelation des Photons. In der Phase mit schwacher Kopplung stimmen unsere Ergebnisse mit störungstheoretischen Berechnungen überein, die eine Infrarot-Instabilität vorhersagen. Andererseits finden wir in der gebrochenen Phase die Dispersionsrelation, die einem masselosen Teilchen entspricht. Als dritte Theorie betrachten wir ein einfaches, in seiner Kontinuumsform supersymmetrisches Modell, welches auf der "Fuzzy Sphere" formuliert wird. Hier wechselwirken neutrale skalare Bosonen mit Majorana-Fermionen. Wir untersuchen die Phasenstruktur dieses Modells, wobei wir drei unterschiedliche Phasen finden.
This work deals with three quantum field theories on spaces with noncommuting position operators. Noncommutative models occur in the study of string theories and quantum gravity. They usually elude treatment beyond the perturbative level. Due to the technique of dimensional reduction, however, we are able to investigate these theories nonperturbatively. This entails translating the action functionals into a matrix language, which is suitable for numerical simulations. First we explore a scalar model on a noncommutative plane. We investigate the continuum limit at fixed noncommutativity, which is known as the double scaling limit. Here we focus especially on the fate of the striped phase, a phase peculiar to the noncommutative version of the regularized scalar model. We find no evidence for its existence in the double scaling limit. Next we examine the U(1) gauge theory on a four-dimensional spacetime, where two spatial directions are noncommutative. We examine the phase structure and find a new phase with a spontaneously broken translation symmetry. In addition we demonstrate the existence of a finite double scaling limit which confirms the renormalizability of the theory. Furthermore we investigate the dispersion relation of the photon. In the weak coupling phase our results are consistent with an infrared instability predicted by perturbation theory. If the translational symmetry is broken, however, we find a dispersion relation corresponding to a massless particle. Finally, we investigate a supersymmetric theory on the fuzzy sphere, which features scalar neutral bosons and Majorana fermions. The supersymmetry is exact in the limit of infinitely large matrices. We investigate the phase structure of the model and find three distinct phases. Summarizing, we study noncommutative field theories beyond perturbation theory. Moreover, we simulate a supersymmetric theory on the fuzzy sphere, which might provide an alternative to attempted lattice formulations.

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Daemi, Aliakbar. "Symmetric Spaces and Knot Invariants from Gauge Theory." Thesis, Harvard University, 2014. http://dissertations.umi.com/gsas.harvard:11563.

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In this thesis, we set up a framework to define knot invariants for each choice of a symmetric space. In order to address this task, we start by defining appropriate notions of singular bundles and singular connections for a given symmetric space. We can associate a moduli space to any singular bundle defined over a compact 4-manifold with possibly non-empty boundary. We study these moduli spaces and show that they enjoy nice properties. For example, in the case of the symmetric space SU(n)/SO(n) the moduli space can be perturbed to an orientable manifold. Although this manifold is not necessarily compact, we introduce a comapctification of it. We then use this moduli space for singular bundles defined over 4-manifolds of the form YxR to define knot invariants. In another direction we mimic the construction of Donaldson invariants to define polynomial invariants for closed 4-manifolds equipped with smooth action of Z/2Z.
Mathematics

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Sardis, Ioannis E. E. "Gluing maps, moduli spaces of connections and Donaldson invariants." Thesis, University of Warwick, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.263327.

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Книги з теми "Gauge theory on noncommutative spaces"

Mielke, Thomas Martin. Mapping spaces, configuration spaces and gauge theory. [s.l.]: typescript, 1995.

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Jajte, Ryszard. Strong limit theorems in noncommutative L2-spaces. Berlin: Springer-Verlag, 1991.

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Kaliuzhnyi-Verbovetskyi, Dmitry S. Foundations of free noncommutative function theory. Providence, Rhode Island: American Mathematical Society, 2014.

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Sergio, Albeverio, ed. Noncommutative distributions: Unitary representation of gauge groups and algebras. New York: M. Dekker, 1993.

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1965-, Sabadini Irene, Struppa Daniele Carlo 1955-, and SpringerLink (Online service), eds. Noncommutative Functional Calculus: Theory and Applications of Slice Hyperholomorphic Functions. Basel: Springer Basel AG, 2011.

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Strong limit theorems in noncommutative L2-spaces. Berlin: Springer-Verlag, 1991.

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service), SpringerLink (Online, ed. Classical Summation in Commutative and Noncommutative L_p-Spaces. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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1975-, Parcet Javier, ed. Mixed-norm inequalities and operator space Lp embedding theory. Providence, R.I: American Mathematical Society, 2010.

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Junge, Marius. Theory of Hp-spaces for continuous filtrations in Von Neumann algebras. Paris: Société mathématique de France, 2014.

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Kirillov, A. A. Representation Theory and Noncommutative Harmonic Analysis II: Homogeneous Spaces, Representations and Special Functions. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995.

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Частини книг з теми "Gauge theory on noncommutative spaces"

Ydri, Badis. "Noncommutative Gauge Theory." In Lectures on Matrix Field Theory, 277–313. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46003-1_6.

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Wess, Julius. "Gauge Theories on Noncommutative Spaces." In Particle Physics in the New Millennium, 320–32. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/3-540-36539-7_23.

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Wess, Julius. "Gauge Theories Beyond Gauge Theory." In Noncommutative Structures in Mathematics and Physics, 1–11. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0836-5_1.

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Dimitrijević, Marija. "Deformed Gauge Theory: Twist Versus Seiberg–Witten Approach." In Noncommutative Spacetimes, 53–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-89793-4_4.

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Hurtubise, Jacques C. "Moduli spaces and particle spaces." In Gauge Theory and Symplectic Geometry, 113–46. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-017-1667-3_4.

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Zeidler, Eberhard. "The Noncommutative Yang–Mills SU(N)-Gauge Theory." In Quantum Field Theory III: Gauge Theory, 843–70. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22421-8_16.

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Vacaru, Sergiu, Iurie Chiosa, and Nadejda Vicol. "Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces." In Noncommutative Structures in Mathematics and Physics, 229–43. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0836-5_18.

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Wulkenhaar, Raimar. "Quantum field theory on noncommutative spaces." In Advances in Noncommutative Geometry, 607–90. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-29597-4_11.

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Majewski, W. Adam, and Louis E. Labuschagne. "Why Are Orlicz Spaces Useful for Statistical Physics?" In Noncommutative Analysis, Operator Theory and Applications, 271–83. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-29116-1_13.

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Ydri, Badis. "The Noncommutative Moyal-Weyl Spaces R θ d." In Lectures on Matrix Field Theory, 19–71. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46003-1_2.

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Тези доповідей конференцій з теми "Gauge theory on noncommutative spaces"

Manolakos, George, Danijel Jurman, Pantelis Manousselis, and George Zoupanos. "Gravity as a Gauge Theory on Three-Dimensional Noncommutative spaces." In Corfu Summer Institute 2017 "Schools and Workshops on Elementary Particle Physics and Gravity". Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.318.0162.

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Martı́n, C. P. "Chiral gauge anomalies on noncommutative space-time." In STRING THEORY; 10th Tohwa University International Symposium on String Theory. AIP, 2002. http://dx.doi.org/10.1063/1.1454371.

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Zaibak, K., and S. Kouadik. "Noncommutative gauge supersymmetric theory in two dimensions in Minkowski space." In THE 8TH INTERNATIONAL CONFERENCE ON PROGRESS IN THEORETICAL PHYSICS (ICPTP 2011). AIP, 2012. http://dx.doi.org/10.1063/1.4715471.

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Manolakos, George, Pantelis Manousselis, and George Zoupanos. "Gauge theory of gravity on a four-dimensional covariant noncommutative space." In Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity". Trieste, Italy: Sissa Medialab, 2020. http://dx.doi.org/10.22323/1.376.0236.

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BRACE, D., B. L. CERCHIAI, and B. ZUMINO. "NONABELIAN GAUGE THEORIES ON NONCOMMUTATIVE SPACES." In Proceedings of the Inaugural Conference of the Michigan Center for Theoretical Physics. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778185_0018.

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ARDALAN, F. "GENERALIZED NONCOMMUTATIVE GAUGE THEORY*." In Proceedings of the 13th Regional Conference. World Scientific Publishing Company, 2012. http://dx.doi.org/10.1142/9789814417532_0014.

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Wohlgenannt, Michael. "Noncommutative gauge theory and renormalisability." In Corfu Summer Institute on Elementary Particles and Physics - Workshop on Non Commutative Field Theory and Gravity. Trieste, Italy: Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.127.0033.

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Meyer, Frank, P. Aschieri, C. Blohmann, M. Dimitrijevic, P. Schupp, and J. Wess. "A Gravity Theory on Noncommutative Spaces." In International Europhysics Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.021.0157.

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Zet, G., Madalin Bunoiu, and Iosif Malaescu. "Noncommutative Gauge Theory with Covariant Star Product." In Proceedings of the Physics Conference. AIP, 2010. http://dx.doi.org/10.1063/1.3482221.

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Behr, Wolfgang. "Regularization of gauge theory on noncommutative R^4." In International Europhysics Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.021.0158.

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Звіти організацій з теми "Gauge theory on noncommutative spaces"

Schraml, Stefan L. Non-Abelian gauge theory on q-Quantum spaces. Office of Scientific and Technical Information (OSTI), August 2002. http://dx.doi.org/10.2172/803865.

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