Divergences in Non-Commutative Gauge Theories with the Slavnov Term

Details Divergences in Non-Commutative Gauge Theories with the Slavnov Term Divergences in Non-Commutative Gauge Theories with the Slavnov Term

2005-10-12

arxiv.org/abs/hep-th/0510100v2

JHEP0511:041,2005

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 7 figures, 4 tables; v2 abstract rewritten & minor corrections, published version

Scientific paper

10.1088/1126-6708/2005/11/041

The divergence structure of non-commutative gauge field theories (NCGFT) with a Slavnov extension is examined at one-loop level with main focus on the gauge boson self-energy. Using an interpolating gauge we show that even with this extension the quadratic IR divergence of the gauge boson self-energy is independent from a covariant gauge fixing as well as from an axial gauge. The proposal of Slavnov is based on the fact that the photon propagator shows a new transversality condition with respect to the IR dangerous terms. This novel transversality is implemented with the help of a new dynamical multiplier field. However, one expects that in physical observables such contributions disappear. A further new feature is the existence of new UV divergences compatible with the gauge invariance (BRST symmetry). We then examine two explicit models with couplings to fermions and scalar fields.

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