English

The Gauss Law: A Tale

High Energy Physics - Theory 2020-08-12 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

The Gauss law plays a basic role in gauge theories, enforcing gauge invariance and creating edge states and superselection sectors. This article surveys these aspects of the Gauss law in QED, QCD and nonlinear G/HG/H models. It is argued that nonabelian superselection rules are spontaneously broken. That is the case with SU(3)SU(3) of colour which is spontaneously broken to U(1)×U(1)U(1)\times U(1). Nonlinear G/HG/H models are reformulated as gauge theories and the existence of edge states and superselection sectors in these models is also established.

Keywords

Cite

@article{arxiv.1807.05161,
  title  = {The Gauss Law: A Tale},
  author = {A. P. Balachandran and A. F. Reyes-Lega},
  journal= {arXiv preprint arXiv:1807.05161},
  year   = {2020}
}

Comments

Published version. References added

R2 v1 2026-06-23T03:00:40.777Z