Path Integral Quantization of Generalized Quantum Electrodynamics

TL;DR

This paper presents a comprehensive covariant quantization of generalized electrodynamics using the path integral method, deriving propagators, identities, and one-loop Green's functions to advance understanding of quantum gauge theories.

Contribution

It provides a complete covariant quantization framework for generalized electrodynamics via path integrals, including derivation of propagators and one-loop Green's functions.

Findings

Derived the complete propagators and identities for the theory.

Performed explicit one-loop calculations of Green's functions.

Discussed the implications of the results for quantum electrodynamics.

Abstract

In this paper, a complete covariant quantization of generalized electrodynamics is shown through the path integral approach. To this goal, we first studied the hamiltonian structure of system following Dirac's methodology and, then, we followed the Faddeev-Senjanovic procedure to obtain the transition amplitude. The complete propagators (Schwinger-Dyson-Fradkin equations) of the correct gauge fixation and the generalized Ward-Fradkin-Takahashi identities are also obtained. Afterwards, an explicit calculation of one-loop approximation of all Green's functions and a discussion about the obtained results are presented.