Strolling along gauge theory vacua
High Energy Physics - Theory
2017-10-05 v2 Mathematical Physics
math.MP
Abstract
We consider classical, pure Yang-Mills theory in a box. We show how a set of static electric fields that solve the theory in an adiabatic limit correspond to geodesic motion on the space of vacua, equipped with a particular Riemannian metric that we identify. The vacua are generated by spontaneously broken global gauge symmetries, leading to an infinite number of conserved momenta of the geodesic motion. We show that these correspond to the soft multipole charges of Yang-Mills theory.
Cite
@article{arxiv.1707.00006,
title = {Strolling along gauge theory vacua},
author = {Ali Seraj and Dieter Van den Bleeken},
journal= {arXiv preprint arXiv:1707.00006},
year = {2017}
}
Comments
46 pages, 1 figure, Published version