Non-Commutative U(1) Gauge Theory on R**4 with Oscillator Term and BRST Symmetry

Abstract

Inspired by the renormalizability of the non-commutative Phi^4 model with added oscillator term, we formulate a non-commutative gauge theory, where the oscillator enters as a gauge fixing term in a BRST invariant manner. All propagators turn out to be essentially given by the Mehler kernel and the bilinear part of the action is invariant under the Langmann-Szabo duality. The model is a promising candidate for a renormalizable non-commutative U(1) gauge theory.

7 pages; v2 revised, v3 corrected eq. (14) and related text, references updated

References in corpus (4)

• 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
• Two and Three Loops Beta Function of Non Commutative ${\Phi }_4^4$ Theory

Cited by in corpus (9)

• One-Loop Calculations for a Translation Invariant Non-Commutative Gauge Model
• Translation-invariant models for non-commutative gauge fields
• Noncommutative field theories on $R_{\lambda }^3$: Towards UV/IR mixing freedom
• Quantum mechanical path integrals in the first quantised approach to quantum field theory
• Gauge theories on quantum spaces
• On the Renormalization of Non-Commutative Field Theories
• One-loop structure of the U(1) gauge model on the truncated Heisenberg space
• Noncommutative Supergeometry and Quantum Supergroups
• Extended BRST formulation of a non-commutative U(1) gauge model