Slavnov-Taylor identities, non-commutative gauge theories and infrared divergences

Abstract

In this work we clarify some properties of the one-loop IR divergences in non-Abelian gauge field theories on non-commutative 4-dimensional Moyal space. Additionally, we derive the tree-level Slavnov-Taylor identities relating the two, three and four point functions, and verify their consistency with the divergent one-loop level results. We also discuss the special case of two dimensions.

21 pages, 3 figures; v2: minor corrections and references added

References in corpus (12)

• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Noncommutative Induced Gauge Theory
• A translation-invariant renormalizable non-commutative scalar model
• Induced Gauge Theory on a Noncommutative Space
• Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
• Vacuum configurations for renormalizable non-commutative scalar models
• Two and Three Loops Beta Function of Non Commutative ${\Phi }_4^4$ Theory
• On the vacuum states for noncommutative gauge theory
• Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry
• Connes distance by examples: Homothetic spectral metric spaces
• Noncommutative Induced Gauge Theories on Moyal Spaces
• On the Renormalization of Non-Commutative Field Theories

Cited by in corpus (15)

• Quantum gauge theories on noncommutative 3-d space
• Gauge theories on quantum spaces
• Noncommutative gauge theories on ${\mathbb{R}}_{\theta }^2$ as matrix models
• Noncommutative gauge theories on ${\mathbb{R}}_{\lambda }^3$: Perturbatively finite models
• Closed star product on noncommutative ${\mathbb{R}}^3$ and scalar field dynamics
• Twisted BRST symmetry in gauge theories on $\kappa$-Minkowski
• Boundary Effects in Super-Yang-Mills Theory
• Quantum instability of gauge theories on $\kappa$-Minkowski space
• Aspects of perturbative quantum field theory on non-commutative spaces
• Directly from $H$-flux to the family of three nonlocal $R$-flux theories
• Noncommutativity and nonassociativity of closed bosonic string on T-dual toroidal backgrounds
• Spectral theorem in noncommutative field theories: Jacobi dynamics
• Spinors on a curved noncommutative space: coupling to torsion and the Gross-Neveu model
• Noncommutative Supergeometry and Quantum Supergroups
• Gauge Fields on Non-Commutative Spaces and Renormalization