Noncompact, gauge-invariant simulations of U(1), SU(2) and SU(3)

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 β ≥ 0.5 after a renormalization of the charge. The SU(2) and SU(3) Cre...

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Published inPhysics letters. B Vol. 365; no. 1; pp. 239 - 243
Main Authors Cahill, Kevin, Herling, Gary
Format Journal Article
LanguageEnglish
Published Elsevier B.V 1996
Elsevier
Subjects
High Energy Physics - Theory
Physics
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Summary: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 β ≥ 0.5 after a renormalization of the charge. The SU(2) and SU(3) Creutz ratios robustly display quark confinement at β = 0.5 and β = 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 Λ L = 130 ± 18 MeV.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(95)01252-4