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arxiv: hep-lat/9805010 · v1 · submitted 1998-05-12 · ✦ hep-lat

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

Kevin Cahill , Gary Herling
Authors on Pith no claims yet
classification ✦ hep-lat
keywords betacreutzratiosagreecouplinggauge-invariantnoncompactrenormalization
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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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  1. Ether of Orbifolds

    hep-lat 2026-03 accept novelty 6.0

    Orbifold lattices incur m^4 Trotter overhead, m^2 contamination, and mandatory mass extrapolation, rendering them 10^4 to 10^10 times costlier than alternatives for a 10^3 calculation.