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arXiv · hep-lat/9408022

Noncompact Gauge-Invariant Lattice Simulations

Kevin Cahill·Gary Herling
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Abstract

We have applied a new gauge-invariant, noncompact, Monte Carlo method to simulate $U(1)$, $SU(2)$, and $SU(3)$ gauge theories on $8^4$ and $12^4$ lattices. The Creutz ratios of the Wilson loops agree with the exact results for $U(1)$ for $β\ge 1$ apart from a renormalization of the charge. The $SU(2)$ and $SU(3)$ Creutz ratios robustly display quark confinement at $β= 0.5$ and $β= 1.5$, respectively. At much weaker coupling, the $SU(2)$ and $SU(3)$ Creutz ratios agree with perturbation theory after a renormalization of the coupling constant.

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Kevin Cahill, Gary Herling. 1994-09-01. Noncompact Gauge-Invariant Lattice Simulations. https://arxiv.org/abs/hep-lat/9408022

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