The Higgs mechanism in non-commutative gauge theories

Frank J. Petriello*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

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. 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.

Original languageEnglish (US)
Pages (from-to)169-190
Number of pages22
JournalNuclear Physics B
Volume601
Issue number1-2
DOIs
StatePublished - May 7 2001

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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