Translation-invariant models for non-commutative gauge fields

Abstract

Motivated by the recent construction of a translation-invariant renormalizable non-commutative model for a scalar field (see arXiv:0802.0791 [math-ph]), we introduce models for non-commutative U(1) gauge fields along the same lines. More precisely, we include some extra terms into the action with the aim of getting rid of the UV/IR mixing.

9 pages

References in corpus (6)

• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Noncommutative Induced Gauge Theory
• Induced Gauge Theory on a Noncommutative Space
• On the vacuum states for noncommutative gauge theory
• Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry
• A Generalization of Slavnov-Extended Non-Commutative Gauge Theories