Non abelian Bianchi identities, monopoles and gauge invariance
High Energy Physics - Lattice
2011-03-22 v1 High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
A direct connection is proved between the Non-Abelian Bianchi Identities and the Abelian Bianchi identities for the 't Hooft tensor in a generic gauge; the existence of a magnetic current is related to the violation of NABI's. Using this relation it is shown that not all gauges are equivalent to detect monopoles on the lattice, that e.g. the Maximal Abelian Gauge is a legitimate choice while the Landau gauge is not. Nevertheless monopole condensation is found to be a gauge invariant property.
Keywords
Cite
@article{arxiv.1011.0371,
title = {Non abelian Bianchi identities, monopoles and gauge invariance},
author = {Claudio Bonati and Massimo D'Elia and Adriano Di Giacomo and Luca Lepori and Fabrizio Pucci},
journal= {arXiv preprint arXiv:1011.0371},
year = {2011}
}
Comments
Talk presented at The XXVIII International Symposium on Lattice Filed Theory, June 14-19, 2010, Villasimius, Sardinia Italy