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.

arXiv comment7 pages; v2 revised, v3 corrected eq. (14) and related text, references updated

References in corpus (14)

• Noncommutative Field Theory
• Quantum Field Theory on Noncommutative Spaces
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• Noncommutative Induced Gauge Theory
• The β-function in duality-covariant noncommutative ϕ^4-theory
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• Renormalization of noncommutative phi 4-theory by multi-scale analysis
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