Non-commutative U(1) gauge theory on with oscillator term and BRST symmetry

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Published 7 August 2007 Europhysics Letters Association
, , Citation D. N. Blaschke et al 2007 EPL 79 61002 DOI 10.1209/0295-5075/79/61002

0295-5075/79/6/61002

Abstract

Inspired by the renormalizability of the non-commutative Φ4 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.

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10.1209/0295-5075/79/61002