Gauge theory on noncommutative spaces
By J. Madore, S. Schraml, P. Schupp, J. Wess. 2000
568 citations recorded by the source corpus.
Abstract. We introduce a formulation of gauge theory on noncommutative spaces based on the notion of covariant coordinates. Some important examples are discussed in detail. A Seiberg-Witten map is established in all cases.
Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1a66165862490883c644ee8a0f115769250d04a5
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Citations in the corpus
- The standard model on non-commutative space-time (2001, background): “We would like to start by briefly reviewing an intuitive approach to the construction of gauge theories over a given non-commutative structure [1].”
- Emergent geometry and gravity from matrix models: an introduction (2010, background): “The X can be interpreted as “covariant coordinates” [30].”
- Emergent gravity from noncommutative gauge theory (2007, background): “The more conventional action Tr([X, Xb]− θ ab )(2) for R(4) θ [35] differs from (1) only by a constant shift and a topological or boundary term of the form Tr[X, X] θ ab .”
- Construction of non-Abelian gauge theories on noncommutative spaces (2001, background): “[2]): δαAi = ∂iΛα[a] + i[Λα[a] ⋆, Ai].”
- Quantum-Spacetime Phenomenology (2008, background): “With spacetime noncommutativity one essentially assumes that spacetime coordinates should not commute [211, 391, 374, 384, 70, 98] among themselves, producing some limitations for the combined determination of more than one coordinate of a spacetime point/event.”
- Review of the phenomenology of noncommutative geometry (2002, unknown): “M Feynman rules are the momentum-dependent oscillatory factors present at each vertex. Otherwise, there is no change from the SM (for a detailed presentation of the model and related work, please see [16, 41, 43, 44, 45]. For the rest of this review we assume that it is permissible to compute in the”
- Comments on perturbative dynamics of non-commutative Yang–Mills theory (2000, unknown): “It was argued in [30] (see also [ 31 , 32] and [24] for a derivation from string theory) that the noncommutative version of this theory is not consistent, since the closure of the Moyal commutator is violated.”
- T-duality and closed string non-commutative (doubled) geometry (2010, background): “The noncommutative gauge theory [9, 47, 48, 49] on the D-branes with F -field background has a mathematically very interesting structure, it is determined by the Moyal-Weyl star-product.”
- Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, methodology): “While likely technically involved, we believe it should in principle be possible to construct (supersymmetric) gauge theories on such noncommutative spaces using the methods developed in [41–43], see also [32,33,38,40] and references therein, and the discussion below.”
- Quantum field theory on noncommutative spaces (2001, methodology): “We can therefore use this method to systematically construct noncommutative gauge theories on R [60].”