Current conservation in charge conjugation parity time reversal symmetry (CPT) violating gauge-invariant nonlocal Thirring model

TL;DR

This paper introduces a class of nonlocal Thirring models that violate CPT symmetry while maintaining gauge invariance and Lorentz invariance, exploring their conserved currents and theoretical implications.

Contribution

It proposes a novel class of CPT-violating, Lorentz-invariant nonlocal gauge-invariant models, expanding the theoretical framework of nonlocal field theories.

Findings

Constructed CPT-violating nonlocal Thirring models

Derived conserved currents within these models

Demonstrated coexistence of CPT violation and Lorentz invariance

Abstract

Charge conjugation, parity transformation and time reversal symmetry (CPT) violation and Lorentz invariance can coexist in the framework of non-local field theory. In this article we have proposed a class of Charge conjugation, parity transformation and time reversal symmetry (CPT) violating Lorentz invariant nonlocal gauge-invariant models, which can be termed as non-local Thirring models. The conserved currents in this aspect are obtained.