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

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{sup 4} and 12{sup 4} lattices. The Creutz ratios of the Wilson loops agree with the exact results for U(1) for {beta}{>=}1 apart from 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) the scaling window is near {beta}=2, and the relation between the string tension {sigma} and our lattice QCD parameter {Lambda}{sub L} is {radical}(s){approx}5{Lambda}{sub L}. ((orig.)).
Authors:
Cahill, K; [1]  Herling, G [1] 
  1. New Mexico Univ., Albuquerque, NM (United States). Dept. of Physics and Astronomy
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; 662230; 662220; PA: AIX-26:064341; EDB-95:132542; SN: 95001458357
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; LATTICE FIELD THEORY; MONTE CARLO METHOD; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; UNIFIED GAUGE MODELS; BAG MODEL; CHARGE RENORMALIZATION; COMPUTERIZED SIMULATION; COUPLING; COUPLING CONSTANTS; GAUGE INVARIANCE; PERTURBATION THEORY; SCALING LAWS; STRESSES; STRING MODELS; SU-2 GROUPS; SU-3 GROUPS; SYMMETRY BREAKING; U-1 GROUPS; VECTOR FIELDS; WILSON LOOP
OSTI ID:
101033
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF377064341
Submitting Site:
NLN
Size:
pp. 858-860
Announcement Date:
Oct 05, 1995

Citation Formats

Cahill, K, and Herling, G. Noncompact gauge-invariant simulations of U(1), SU(2), and SU(3). Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00403-V.
Cahill, K, & Herling, G. Noncompact gauge-invariant simulations of U(1), SU(2), and SU(3). Netherlands. doi:10.1016/0920-5632(95)00403-V.
Cahill, K, and Herling, G. 1995. "Noncompact gauge-invariant simulations of U(1), SU(2), and SU(3)." Netherlands. doi:10.1016/0920-5632(95)00403-V. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00403-V.
@misc{etde_101033,
title = {Noncompact gauge-invariant simulations of U(1), SU(2), and SU(3)}
author = {Cahill, K, and Herling, G}
abstractNote = {We have applied a new gauge-invariant, noncompact, Monte Carlo method to simulate U(1), SU(2), and SU(3) gauge theories on 8{sup 4} and 12{sup 4} lattices. The Creutz ratios of the Wilson loops agree with the exact results for U(1) for {beta}{>=}1 apart from 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) the scaling window is near {beta}=2, and the relation between the string tension {sigma} and our lattice QCD parameter {Lambda}{sub L} is {radical}(s){approx}5{Lambda}{sub L}. ((orig.)).}
doi = {10.1016/0920-5632(95)00403-V}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}