Noetherian Conservation Laws for Photons
Mathematical Physics
2025-04-25 v2 General Relativity and Quantum Cosmology
math.MP
Quantum Physics
Abstract
We review the formulation of a Lorentz-covariant bispinorial wave function and wave equation for a single photon on a flat background. We show the existence of a 10-dimensional set of conservation laws for this equation, and prove that 8 of these can be used to obtain global, gauge-invariant, ADM-like quantities that together define a covariantly constant self-dual bispinor.
Cite
@article{arxiv.2503.03271,
title = {Noetherian Conservation Laws for Photons},
author = {Michael K. -H. Kiessling and A. Shadi Tahvildar-Zadeh},
journal= {arXiv preprint arXiv:2503.03271},
year = {2025}
}
Comments
22 pages. Corrected version. Dedicated to Tom Sideris on the occasion of his 70th birthday