A center vortex representaton of the classical SU(2) vacuum
High Energy Physics - Theory
2016-11-10 v3 High Energy Astrophysical Phenomena
Abstract
The classical massless SU(2) field theory has an infinite number of gauge equivalent representations of the vacuum. We show that among these there exists a non-perturbative center vortex representation with some similarity to the quantum vacuum of the same theory. This classical SU(2) vacuum consists of a lattice of center vortex pairs combining to triviality. However, this triviality can be broken by perturbations, for example by adding a mass term, or by considering the electroweak theory where the Higgs field does the breaking, or by quantum fluctuations like in QCD.
Cite
@article{arxiv.1605.00603,
title = {A center vortex representaton of the classical SU(2) vacuum},
author = {P. Olesen},
journal= {arXiv preprint arXiv:1605.00603},
year = {2016}
}
Comments
Some references are added and a more detailed discussion of the quantum case is given