Complete control of gauge parameter dependence in the Abelian Higgs model

Details Complete control of gauge parameter dependence in the Abelian Higgs model Complete control of gauge parameter dependence in the Abelian Higgs model

1997-07-18

arxiv.org/abs/hep-th/9707165v1

Eur.Phys.J.C4:543-556,1998

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 34pp

Scientific paper

10.1007/s100520050227

We examine the dependence on all gauge parameters in the example of the Abelian Higgs model by applying a general algebraic method which roots in an extension of the usual Slavnov-Taylor identity. This method automatically yields all information about the gauge parameter dependence of Green functions and therefore especially allows to control the range of ``good'' normalization conditions. In this context we show that the physical on-shell normalization conditions are in complete agreement with the restrictions dictated by the enlarged Slavnov-Taylor identity and that the coupling can be fixed in an easily handleable way on the Ward identity of local gauge invariance. As an application of the general method we also study the Callan-Symanzik equation and the renormalization group equation of the Abelian Higgs model.

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