Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-07-27
Phys.Rev. D60 (1999) 065010
Physics
High Energy Physics
High Energy Physics - Theory
Jul, 1998, 31 pages
Scientific paper
10.1103/PhysRevD.60.065010
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.
Ferrari Ruggero
Grassi Pietro Antonio
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