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Constructive algebraic renormalization of the Abelian Higgs-Kibble model

Ruggero Ferrari*

Pietro Antonio Grassi†

  • Dipartimento di Fisica, Università di Milano, via Celoria 16, 20133 Milano, Italy
  • INFN, Sezione di Milano

  • Max-Planck-Institut für Physik (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany

  • *Email address: The ruggero.ferrari@mi.infn.it
  • †Email address: pgrassi@mppmu.mpg.de
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Phys. Rev. D 60, 065010 – Published 23 August, 1999

DOI: https://doi.org/10.1103/PhysRevD.60.065010

Abstract

We propose an algorithm, based on algebraic renormalization, that allows the restoration of Slavnov-Taylor invariance at every order of perturbative expansion for an anomaly-free Becchi-Rouet-Stora (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 discussed here in the case of the Abelian Higgs-Kibble model (in 3+1 dimensions), where the zero momentum limit can be safely performed. The normalization conditions are imposed by means of the Slavnov-Taylor invariants. A judicious choice of the normalization conditions greatly simplifies the calculation of the counterterms. In particular within this model all counterterms involving BRS external sources (antifields) can be put to zero with the exception of the fermion sector.

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Phys. Rev. D 60, 065010– Published 23 August, 1999
  • Received 27 July 1998

© 1999 American Physical Society

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