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

2001-12-20

arxiv.org/abs/hep-th/0112201v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures. Latex format. Submitted to New Journal Physics

Scientific paper

Abelian Lagrangians containing $\lambda\phi^{4}$-type vertices are regularized by means of a suitable point-splitting scheme combined with generalized gauge transformations. The calculation is developped in details for a general Lagrangian whose fields (gauge and matter ones) satisfy usual conditions. We illustrate our results by considering some special cases, such as the $(\bar{\psi}\psi)^{2}$ and the Avdeev-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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