Perturbative BF-Yang-Mills theory on noncommutative R^4

Abstract

A U(1) BF-Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is presented and in this formulation the U(1) Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ is seen as a deformation of the pure BF theory. Quantization using BRST symmetry formalism is discussed and Feynman rules are given. Computations at one-loop order have been performed and their renormalization studied. It is shown that the U(1) BFYM on noncommutative ${\mathbb{R}}^4$ is asymptotically free and its UV-behaviour in the computation of the $\beta$-function is like the usual SU(N) commutative BFYM and Yang Mills theories.

15 pages, 4 figures, latex, version to appear in NPB

References in corpus (5)

• String Theory and Noncommutative Geometry
• Noncommutative Perturbative Dynamics
• Renormalization of Quantum Field Theories on Noncommutative R^d, I. Scalars
• Perturbative quantum gauge fields on the noncommutative torus
• On noncommutative and commutative equivalence for BFYM theory : : Seiberg-Witten map

Cited by in corpus (10)

• Quantum Field Theory on Noncommutative Spaces
• Noncommutative Perturbative Dynamics
• Comments on Noncommutative Perturbative Dynamics
• Chiral Gauge Anomalies on Noncommutative R^4
• Compton scattering in Noncommutative Space-Time at the NLC
• Non-commutative U(1) Super-Yang-Mills Theory: Perturbative Self-Energy Corrections
• The low energy limit of the non-commutative Wess-Zumino model
• Noncommutative Geometry as a Regulator
• BFV-BRST analysis of equivalence between noncommutative and ordinary gauge theories
• Seiberg-Witten map for the 4D noncommutative BF theory