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arXiv · hep-th/9807191

Constructive algebraic renormalization of the abelian Higgs-Kibble model

R. Ferrari·P. A. Grassi
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Abstract

We propose an algorithm, based on Algebraic Renormalization, that allows the restoration of Slavnov-Taylor invariance at every order of perturbation expansion for an anomaly-free BRS invariant gauge theory. The counterterms are explicitly constructed in terms of a set of one-particle-irreducible Feynman amplitudes evaluated at zero momentum (and derivatives of them). The approach is here discussed in the case of the abelian Higgs-Kibble model, where the zero momentum limit can be safely performed. The normalization conditions are imposed by means of the Slavnov-Taylor invariants and are chosen in order to simplify the calculation of the counterterms. In particular within this model all counterterms involving BRS external sources (anti-fields) can be put to zero with the exception of the fermion sector.

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R. Ferrari, P. A. Grassi. 1998-07-27. Constructive algebraic renormalization of the abelian Higgs-Kibble model. https://doi.org/10.1103/physrevd.60.065010

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