Generalized Gauge Transformations and Regularized $λφ^4$-type Abelian Vertices

Details Generalized Gauge Transformations and Regularized $λφ^4$-type Abelian Vertices Generalized Gauge Transformations and Regularized $λφ^4$-type Abelian Vertices

1998-11-30

arxiv.org/abs/hep-th/9811253v3

Physics

High Energy Physics

High Energy Physics - Theory

11 pages. New corrected version: some minors errors corrected, new references added

Scientific paper

Abelian Lagrangians containing Phi^4-type vertices are regularized by means of a suitable point-splitting scheme combined with generalized gauge transformations.. The calculation is developed in details for a general Lagrangean, whose fields (gauge and matter ones) satisfy usual conditions. We illustrate our results by considering some special cases, such as the ($\overline{\psi}\psi)^2 and a modified version of the Avddev-Chizhov models. Possible application of our results to the Abelian Higgs model, whenever spontaneous symmetry breaking is considered, is also discussed. We also pay attention to a number of features of the point-split action such as the regularity and non-locality of its new ``interacting terms''.

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