Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups

Abstract

Seiberg-Witten maps and a recently proposed construction of noncommutative Yang-Mills theories (with matter fields) for arbitrary gauge groups are reformulated so that their existence to all orders is manifest. The ambiguities of the construction which originate from the freedom in the Seiberg-Witten map are discussed with regard to the question whether they can lead to inequivalent models, i.e., models not related by field redefinitions.

12 pages; references added, minor misprints corrected

References in corpus (6)

• Construction of non-Abelian gauge theories on noncommutative spaces
• An Exact Solution to Seiberg-Witten Equation of Noncommutative Gauge Theory
• A Cohomological Approach to the Non-Abelian Seiberg-Witten Map
• Noncommutative o*(N) and usp*(2N) algebras and the corresponding gauge field theories
• Seiberg-Witten maps from the point of view of consistent deformations of gauge theories
• Some remarks on Feynman rules for non-commutative gauge theories based on groups $G\ne U(N)$

Cited by in corpus (37)

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• Dimensional Reduction over Fuzzy Coset Spaces
• The Gauge Anomaly and the Seiberg-Witten Map
• Seiberg--Witten Maps to All Orders
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• Computing the θ-exact Seiberg-Witten map for arbitrary gauge groups
• Gauge theories on quantum spaces
• U(1) gauge field theory on kappa-Minkowski space
• Second order expansions of action functionals of noncommutative gauge theories
• Four-dimensional Gravity on a Covariant Noncommutative Space
• Higher-Dimensional Unified Theories with Fuzzy Extra Dimensions
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Seiberg--Witten maps for $\mathbf{SO}(1,3)$ gauge invariance and deformations of gravity
• Seiberg-Witten maps and scattering amplitudes of NCQED
• Photon self-interaction on deformed spacetime
• Higher-Dimensional Unification with continuous and fuzzy coset spaces as extra dimensions
• Seiberg-Witten map Invariant Scatterings
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• The theta-exact Seiberg-Witten maps at the e3 order
• Emergent Noncommutative gravity from a consistent deformation of gauge theory
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• Intertwining noncommutativity with gravity and particle physics
• The U(1)A anomaly in noncommutative SU(N) theories
• Non-constant Non-commutativity in 2d Field Theories and a New Look at Fuzzy Monopoles
• On the All Order Solutions of Seiberg-Witten Map for Noncommutative Gauge Theories
• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
• One-loop renormalization of general noncommutative Yang-Mills field model coupled to scalar and spinor fields
• Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
• Noncommutative field theories from a deformation point of view
• Revisiting NCQED and scattering amplitudes
• Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
• Elastic scattering of electron by a Yukawa potential in non-commutative spacetime
• Seiberg-Witten map for the 4D noncommutative BF theory
• Seiberg-Witten maps and anomalies in noncommutative Yang-Mills theories
• The Background Field Method and the Linearization Problem for Poisson Manifolds
• One-loop Renormalized Coefficient of Noncommutative Supersymmetric Yang-Mills-Chern-Simons Gauge Theories in Three Dimensions
• UV/IR mixing in Noncommutative SU(N) Yang-Mills theory