Cancellation of the Chiral Anomaly in a Model with Spontaneous Symmetry Breaking

Z.Phys. C57 (1993) 639-646 A perturbatively renormalized Abelian Higgs-Kibble model with a chirally coupled fermion is considered. The Slavnov identity is fulfilled to all orders of perturbation theory, which is crucial for renormalizability in models with vector bosons. BRS invariance, i.e. the val...

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Bibliographic Details
Main Author Portmann, Thomas
Format Journal Article
LanguageEnglish
Published 29.04.1993
Subjects
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
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Summary:Z.Phys. C57 (1993) 639-646 A perturbatively renormalized Abelian Higgs-Kibble model with a chirally coupled fermion is considered. The Slavnov identity is fulfilled to all orders of perturbation theory, which is crucial for renormalizability in models with vector bosons. BRS invariance, i.e. the validity of the identity, forces the chiral anomaly to be cancelled by Wess-Zumino counterterms. This procedure preserves the renormalizability in the one-loop approximation but it violates the Froissart bounds for partial wave amplitudes above some energy and destroys renormalizability from the second order in h bar onwards due to the counterterms. (The paper has 3 figs. in postscript which are not included; send request to the author's e-mailbox with subject: figures . The author is willing to mail hard copies of the paper.)
DOI:10.48550/arxiv.hep-th/9304136