Generalized quantum electrodynamics in the framework of Generalized BRST transformation

TL;DR

This paper explores a generalized form of quantum electrodynamics (QED) incorporating Podolsky's electromagnetism and higher-order derivatives, using finite field dependent BRST transformations to connect different gauge choices and analyze their equivalence.

Contribution

It introduces a generalized QED framework with higher-order derivatives and demonstrates how different gauge-invariant theories are interconnected via FFBRST transformations.

Findings

No mixing gauge avoids UV divergences in radiative corrections.

FFBRST transformations connect different gauge formulations of GQED.

All BRST invariant theories in GQED are equivalent through these transformations.

Abstract

Podolsky's electromagnetism which explains some of unresolved problems of usual QED has been investigated in the framework of finite field dependent (FFBRST) BRST transformation. In this generalized QED (GQED), BRST invariant effective theories are written using generalized Lorenz gauge, $(1+\frac{\Box }{m_p^2})\partial^\mu A_\mu=0$ and no mixing gauge condition $(1+\frac{\Box }{m_p^2})^\frac{1}{2} \ \partial^\mu A_\mu=0$, it contains higher order derivative terms. No Mixing gauge is free from UV divergences in the radiative correction and easier to handle. We construct appropriate FFBRST transformation to obtain generating functional in no mixing gauge from that of in Lorenz gauge. We show that all these BRST invariant effective theories in GQED are basically same and are inter-connected with appropriately constructed FFBRST transformations.