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

Winder A. Moura-Melo·J. A. Helayel-Neto
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Abstract

Abelian Lagrangians containing $λϕ^{4}$-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 $(\barψψ)^{2}$ 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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Winder A. Moura-Melo, J. A. Helayel-Neto. 2001-12-20. Generalized Gauge Transformations and Regularized $λϕ^{4}$-type Abelian Vertices. https://arxiv.org/abs/hep-th/0112201

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