Quantization of Generalized Abelian Gauge Field Theory under Rotor Model

TL;DR

This paper explores the quantization of a generalized abelian gauge field theory under the rotor model using path integrals, deriving Feynman propagators for both massless and massive cases, extending previous theoretical work.

Contribution

It introduces the quantization of the generalized abelian gauge field theory under the rotor model and derives explicit Feynman propagators for these theories.

Findings

Derived the Feynman propagator for the generalized gauge field theory

Extended the analysis to the generalized Proca action for massive fields

Provided explicit expressions for propagators in higher-order derivative models

Abstract

This paper is a follow-up work of the previous study of the generalized abelian gauge field theory under rotor model of order $n$ of higher order derivatives. We will study the quantization of this theory using path integral approach and find out the Feynman propagator (2-point correlation function) of this generalized theory. We also investigate the generalized Proca action under rotor model and derive the Feynman propagator for the massive case.