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Spontaneous breaking of remnant gauge symmetries in zero-temperature SU(2) lattice gauge theory

Michael Grady
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Abstract

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 $N^4$ lattice, the transition is unusually broad, encompassing most of the crossover region on typical lattices.

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Michael Grady. 2006-07-11. Spontaneous breaking of remnant gauge symmetries in zero-temperature SU(2) lattice gauge theory. https://arxiv.org/abs/hep-lat/0607013

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