Local BRST cohomology and Seiberg-Witten maps in noncommutative Yang-Mills theory

Abstract

We analyze in detail the recursive construction of the Seiberg-Witten map and give an exhaustive description of its ambiguities. The local BRST cohomology for noncommutative Yang-Mills theory is investigated in the framework of the effective commutative Yang-Mills type theory. In particular, we show how some of the conformal symmetries get obstructed by the noncommutative deformation.

34 pages Latex file, 2 additional references added

References in corpus (1)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism

Cited by in corpus (30)

• Gauge theories on the kappa-Minkowski spacetime
• The Noncommutative Standard Model at O(theta^2)
• Quantum noncommutative gravity in two dimensions
• Seiberg--Witten Maps to All Orders
• Second order expansions of action functionals of noncommutative gauge theories
• Neutrino propagation in noncommutative spacetimes
• Self-energies on deformed spacetimes
• On the Uniqueness of L${}_{\infty }$ bootstrap: Quasi-isomorphisms are Seiberg-Witten Maps
• Gauge Theories on Deformed Spaces
• On the Renormalizability of Noncommutative U(1) Gauge Theory - an Algebraic Approach
• Photon self-interaction on deformed spacetime
• Seiberg-Witten map Invariant Scatterings
• Noncommutative Two Dimensional BF Model
• SO(10) GUTs with large tensor representations on Noncommutative Space-time
• Introduction to Classical Gauge Field Theory and to Batalin-Vilkovisky Quantization
• The Minimal and the New Minimal Supersymmetric Grand Unified Theories on Noncommutative Space-time
• Two-Point Functions on Deformed Spacetime
• The hybrid Seiberg-Witten map, its $\theta$-exact expansion and the antifield formalism
• The theta-exact Seiberg-Witten maps at the e3 order
• On the All Order Solutions of Seiberg-Witten Map for Noncommutative Gauge Theories
• Super Yang-Mills and theta-exact Seiberg-Witten map: Absence of quadratic noncommutative IR divergences
• Photon polarization tensor on deformed spacetime: A four-photon-tadpole contribution
• On The Complete Seiberg-Witten Map For Theories With Topological Terms
• On Batalin-Vilkovisky Formalism of Non-Commutative Field Theories
• Seiberg-Witten map for the 4D noncommutative BF theory
• Non-commutative gauge symmetry from strong homotopy algebras
• Seiberg-Witten maps and anomalies in noncommutative Yang-Mills theories
• A note on the implementation of Poincaré symmetry in noncommutative field theory
• The Seiberg-Witten Map on the Fuzzy Sphere
• The Background Field Method and the Linearization Problem for Poisson Manifolds