Noncompact, Gauge-Invariant Simulations of U(1), SU(2), and SU(3)

Details Noncompact, Gauge-Invariant Simulations of U(1), SU(2), and SU(3) Noncompact, Gauge-Invariant Simulations of U(1), SU(2), and SU(3)

1998-05-12

arxiv.org/abs/hep-lat/9805010v1

Phys.Lett. B365 (1996) 239-243

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 1 figure, Latex2e

Scientific paper

10.1016/0370-2693(95)01252-4

We have applied a new noncompact, gauge-invariant, Monte Carlo method to simulate the U(1), SU(2), and SU(3) gauge theories on 8^4 and 12^4 lattices. For U(1) the Creutz ratios of the Wilson loops agree with the exact results for beta > 0.5 after a renormalization of the charge. The SU(2) and SU(3) Creutz ratios robustly display quark confinement at beta = 0.5 and beta = 2, respectively. At much weaker coupling, the SU(2) and SU(3) Creutz ratios agree with perturbation theory after a renormalization of the coupling constant. For SU(3) without quarks, our lattice QCD parameter is Lambda_L = 130 +- 18$ MeV.

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