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.)).
Cahill, K;
[1]
Herling, G
[1]
- New Mexico Univ., Albuquerque, NM (United States). Dept. of Physics and Astronomy
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.
https://doi.org/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.
https://doi.org/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 = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}
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 = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}