2006/07/10 by Michael Grady, Grady, Michael
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/0607013
14 pages, LaTex, 4 eps figs (6 figure files), v2: 2 refs. added., minor wording changes
openalex publication_date 2006/07/10 · arxiv created 2006/07/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The 4-d SU(2) lattice gauge theory is simulated in the minimal Coulomb gauge which aims to maximize the traces of all links in three directions. Fourth-direction links are interpreted as spins in a Heisenberg-like model with varying interactions. These spins magnetize in 3-d hyperlayers at weak coupling, breaking a remnant gauge symmetry, as well as the Polyakov-loop symmetry. They demagnetize at a phase transition around β= 2.5 on the infinite lattice, as determined by Binder cumulant crossings. Because N symmetries are breaking on an N4 lattice, the transition is unusually broad, encompassing most of the crossover region on typical lattices.