# A Free-Field Lagrangian for a Gauge Theory of the CPT Symmetry

## TL;DR

This paper develops a refined free-field Lagrangian for a gauge theory of CPT symmetry, addressing previous shortcomings and ensuring all theoretical requirements are met.

## Contribution

It introduces a modified Lagrangian that satisfies an overlooked requirement, advancing the theoretical framework of gauge theories of CPT symmetry.

## Key findings

- The new Lagrangian satisfies all necessary theoretical conditions.
- It improves upon previous models by addressing prior oversights.
- The approach simplifies the mathematical formulation of the gauge theory.

## Abstract

A simplified mathematical approach is presented and used to find a suitable free-field Lagrangian to complete previous work on constructing a gauge theory of CPT transformations. The new Lagrangian is a slight but important modification of the previous candidate. The new version satisfies an additional requirement which had been overlooked and not satisfied by the previous candidate.