Generalizing the Coleman-Hill Theorem

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, uses phyzzx. Abstract and conclusion modified, new reference added

Scientific paper

10.1142/S0217732397000790

Following the work of Khare {\it et al}, we show that the generalization to systems with spontaneous symmetry breaking of the Coleman-Hill theorem to one-loop order, can be extended to the case including fermions with the most general interactions. Although the correction to the parity-odd part of the vacuum polarization looks complicated in the Higgs phase, it turns out that the correction to the Chern-Simons term is identical to that in the symmetric phase, with the difference coming only from the contribution of the would be Chern-Simons term. We also discuss the implication of our result to nonabelian systems.

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