Discrete Noether Currents

TL;DR

This paper presents a straightforward method to implement Noether's theorem for discrete symmetries in relativistic field theories, illustrating conserved currents and discussing quantum conservation aspects.

Contribution

It introduces a simple approach to derive conserved currents for discrete symmetries and explores their quantum conservation properties.

Findings

Conserved currents are derived for charge conjugation and cyclic symmetries.

The quantum version of current conservation for discrete symmetries is briefly analyzed.

Abstract

A simple implementation of Noether's theorem for discrete symmetries in relativistic continuum field theories is presented. The associated conserved current is exemplified by charge conjugation and a cyclic symmetry. In addition, the quantum version of current conservation for discrete symmetries is briefly discussed.