Exploring Residual Gauge Symmetry Breaking

Simple item page
dc.creatorGrady, Michael
dc.date2006-10-05
dc.date.accessioned2026-07-07T10:41:24Z
dc.date.available2026-07-07T10:41:24Z
dc.descriptionSimulations of pure-gauge SU(2) lattice gauge theory are performed in the minimal Coulomb gauge. This leaves a residual or remnant gauge symmetry still active which is global in three directions but still local in one. Using averaged fourth-dimension pointing links as a spin-like order parameter, the remnant symmetry appears to undergo spontaneous symmetry breaking at around $β= 2.6$. Both the Binder cumulant and the magnetization itself exhibit crossings in this region using lattices up to $20^4$, and a susceptibility peak is also observed. Finite size scaling indicates a weak first-order transition. The symmetry breaking is also observed to take place in the fundamental-adjoint plane, and is coincident with the strong first-order transition that exists there at large $β_{\rm{adjoint}}$. This provides confirmation that this phase transition is a symmetry-breaking transition. A well-known theorem concerning the instantaneous Coulomb potential has previously proven that a transition where such a Coulomb-gauge remnant symmetry breaks is necessarily deconfining.
dc.description7 pages, 4 figures (6 figure files), PoS style, Lattice 2006 Poster(Topology and Confinement)
dc.identifierhttps://arxiv.org/abs/hep-lat/0610042
dc.identifierhttp://arxiv.org/abs/hep-lat/0610042
dc.identifierPoSLAT2006:066,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181614
dc.subjectHigh Energy Physics - Lattice
dc.titleExploring Residual Gauge Symmetry Breaking
dc.typetext

Files

Collections

arXiv