Lorentz Invariant CPT Violation for a Class of Nonlocal Thirring Model

TL;DR

This paper introduces a class of Lorentz invariant nonlocal Thirring models that violate CPT symmetry, leading to potential mass differences between particles and antiparticles, challenging conventional quantum field theory assumptions.

Contribution

It presents a novel class of nonlocal Thirring models that maintain Lorentz invariance while explicitly violating CPT symmetry, with implications for particle-antiparticle mass splitting.

Findings

CPT violation occurs without breaking Lorentz invariance.

Mass-splitting between particles and antiparticles can be realized.

The models expand the theoretical landscape of nonlocal quantum field theories.

Abstract

It is possible to construct Lorentz invariant CPT violating models for Nonlocal Quantum Field Theory. In this article, we present a class of Nonlocal Thirring Models, in which the CPT invariance is violated while the Lorentz invariance is present. As a result, in certain cases the mass-splitting between particle and antiparticle are identified.