Radiative Corrections in GSDKP

TL;DR

This paper computes the first radiative corrections in GSDKP, demonstrating how DKP algebra enforces gauge symmetry and Ward-Takahashi identities, which suppress certain UV divergences, raising questions about their general relationship.

Contribution

It explicitly calculates the first radiative corrections in GSDKP and shows the role of DKP algebra in maintaining gauge symmetry and controlling divergences.

Findings

Radiative corrections are computed using dimensional regularization.

DKP algebra ensures the validity of Ward-Takahashi identities.

Certain UV divergences are prohibited by the algebraic structure.

Abstract

We show explicit the first radiative correction for the vertex and photon-photon 4-point function in Generalized Scalar Duffin-Kemmer-Petiau Quantum Electrodynamcis (GSDKP), utilizing the dimensional regularization method, where the gauge symmetry is manifest. As we shall see one of the consequences of the study is that the DKP algebra ensures the functioning of theWard- Takahashi-Fradkin (WTF) identities in the first radiative corrections prohibiting certain ultraviolet (UV) divergences. This result leads us to ask whether this connection between DKP algebra, UV divergences, and quantum gauge symmetry (WTF) is a general statment.