Discrete Noether Currents
General Physics
2026-02-09 v3
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.
Keywords
Cite
@article{arxiv.1405.1409,
title = {Discrete Noether Currents},
author = {Gerhart Seidl},
journal= {arXiv preprint arXiv:1405.1409},
year = {2026}
}
Comments
3 pages, text written in LaTex; v2: text shortened, notation improved, 2 references removed, 1 reference added, 3 examples removed, new example added, new introductory material included, new alternative formulas added; v3: time-parameterization introduced, discussion in Hamiltonian formalism and reference to emergent symmetries added, examples adjusted and unified, text simplified