The Higgs Mechanism in Non-commutative Gauge Theories

Details The Higgs Mechanism in Non-commutative Gauge Theories The Higgs Mechanism in Non-commutative Gauge Theories

2001-01-16

arxiv.org/abs/hep-th/0101109v3

Nucl.Phys. B601 (2001) 169-190

Physics

High Energy Physics

High Energy Physics - Theory

34 pgs, typos corrected, references added

Scientific paper

10.1016/S0550-3213(01)00070-0

This paper investigates the non-commutative version of the Abelian Higgs model at the one loop level. We find that the BRST invariance of the theory is maintained at this order in perturbation theory, rendering the theory one-loop renormalizable. Upon removing the gauge field from the theory we also obtain a consistent continuum renormalization of the broken O(2) linear sigma model, contradicting results found in the literature. The beta functions for the various couplings of the gauged U(1) theory are presented, as are the divergent contributions to every one particle irreducible (1PI) function. We find that all physical couplings and masses are gauge independent. A brief discussion concerning the symmetries $P$, $C$, and $T$ in this theory is also given.

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