Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-12-31
Physics
High Energy Physics
High Energy Physics - Lattice
23 pages, 10 figures, LaTex
Scientific paper
Lattice gauge theories are considered with a partial axial gauge fixing along one direction only. This leaves a residual gauge symmetry that is still local in three directions but now global in one. It is found that this $N^{d-1}$ fold symmetry (on an $N^d$ lattice) breaks spontaneously at weak coupling with the gauge field elements on links averaged over 1-d chains along the gauge-fixing direction as order parameters. This phase transition is observed with Monte-Carlo simulations for both 3-d Z2 and 4-d SU(2) pure gauge theories and appears to be coincident with the deconfinement transition. This work calls into question the equivalence of different gauges in certain circumstances.
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