The Non-abelian Chern-Simons Coefficient in the Higgs Phase

Abstract

We calculate the one loop corrections to the Chern-Simons coefficient $\kappa$ in the Higgs phase of Yang-Mills Chern-Simons Higgs theories. When the gauge group is SU(N), we show, by taking into account the effect of the would be Chern-Simons term, that the corrections are always integer multiples of $\frac{1}{4\pi }$, as they should for the theories to be quantum-mechanically consistent. In particular, the correction is vanishing for SU(2). The same method can also be applied to the case that the gauge group is SO(N). The result for SO(2) agrees with that found in the abelian Chern-Simons theories. Therefore, the calculation provides with us a unified understanding of the quantum correction to the Chern-Simons coefficient.

14 pages, Revtex, FEYNMAN is used to generate the Feynman diagram

References in corpus (10)

• Self-Dual Chern-Simons Theories
• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
• Self-DUal SU(3) Chern-Simons Higgs Systems
• Vacuum Mass Spectra for SU(N) Self-Dual Chern-Simons-Higgs Systems
• Mass Degeneracies In Self-Dual Models
• Spontaneous Symmetry Breaking and the Renormalization of the Chern-Simons Term
• On the Coleman-Hill Theorem
• Integer Quantization of the Chern-Simons Coefficient in a Broken Phase
• Generalizing the Coleman-Hill Theorem
• Renormalization In Coupled-Abelian Self-Dual Chern-Simons Models

Cited by in corpus (3)

• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories
• Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model
• Mass Spectra of N=2 Supersymmetric SU(n) Chern-Simons-Higgs Theories