CPT, Lorentz invariance, mass differences, and charge non-conservation

TL;DR

This paper presents a Lorentz-invariant non-local field theory that breaks discrete symmetries and shows that mass equality for particles and antiparticles at one-loop level depends solely on Lorentz symmetry, linking mass differences to Lorentz violation.

Contribution

It introduces a non-local field theory breaking discrete symmetries while preserving Lorentz invariance and analyzes the conditions under which particle-antiparticle mass equality holds.

Findings

Masses for particles and antiparticles remain equal at one-loop level due to Lorentz symmetry.

Mass inequality implies Lorentz symmetry breaking and charge non-conservation.

The theory demonstrates that discrete symmetry breaking does not necessarily violate Lorentz invariance.

Abstract

A non-local field theory which breaks discrete symmetries, including C, P, CP, and CPT, but preserves Lorentz symmetry, is presented. We demonstrate that at one-loop level the masses for particle and antiparticle remain equal due to Lorentz symmetry only. An inequality of masses implies breaking of the Lorentz invariance and non-conservation of the usually conserved charges.