Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-07-10
Physics
High Energy Physics
High Energy Physics - Lattice
14 pages, LaTex, 4 eps figs (6 figure files), v2: 2 refs. added., minor wording changes
Scientific paper
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 $\beta = 2.5$ on the infinite lattice, as determined by Binder cumulant crossings. Because $N$ symmetries are breaking on an $N^4$ lattice, the transition is unusually broad, encompassing most of the crossover region on typical lattices.
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