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 in | Physics letters. B Vol. 365; no. 1; pp. 239 - 243 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
1996
Elsevier |
Subjects | |
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Abstract | 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. |
---|---|
AbstractList | 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. |
Author | Herling, Gary Cahill, Kevin |
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Copyright | 1996 Distributed under a Creative Commons Attribution 4.0 International License |
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References | Cahill, Cahill, Herling, Cahill, Herling (BIB2) 1995; Vol. II Creutz, Creutz (BIB3) 1980; 21 Palumbo, Palumbo, Palumbo, Polikarpov, Veselov, Palumbo, Polikarpov, Veselov, Becchi, Palumbo, Becchi, Palumbo (BIB1) 1990; 244 Cahill (BIB4) 1993; 304 Palumbo (10.1016/0370-2693(95)01252-4_BIB1_2) 1990; 250 Palumbo (10.1016/0370-2693(95)01252-4_BIB1_3) 1991; 258 Palumbo (10.1016/0370-2693(95)01252-4_BIB1_4) 1992; 297 Cahill (10.1016/0370-2693(95)01252-4_BIB2_1) Cahill (10.1016/0370-2693(95)01252-4_BIB2_2) 1995; Vol. II Creutz (10.1016/0370-2693(95)01252-4_BIB3_1) 1980; 21 Palumbo (10.1016/0370-2693(95)01252-4_BIB1_1) 1990; 244 Becchi (10.1016/0370-2693(95)01252-4_BIB1_5) 1991; 44 Becchi (10.1016/0370-2693(95)01252-4_BIB1_6) 1992; 388 Cahill (10.1016/0370-2693(95)01252-4_BIB4) 1993; 304 Cahill (10.1016/0370-2693(95)01252-4_BIB2_3) 1995; 42 Creutz (10.1016/0370-2693(95)01252-4_BIB3_2) 1980; 45 |
References_xml | – volume: 21 start-page: 2308 year: 1980 ident: BIB3 publication-title: Phys. Rev. D contributor: fullname: Creutz – volume: 304 start-page: 307 year: 1993 ident: BIB4 publication-title: Phys. Lett. B contributor: fullname: Cahill – volume: 244 start-page: 55 year: 1990 ident: BIB1 publication-title: Phys. Lett. B contributor: fullname: Palumbo – volume: Vol. II start-page: 1715 year: 1995 ident: BIB2 publication-title: Proc. Albuquerque Meeting, DPF '94 contributor: fullname: Herling – volume: 297 start-page: 171 year: 1992 ident: 10.1016/0370-2693(95)01252-4_BIB1_4 publication-title: Phys. Lett. B doi: 10.1016/0370-2693(92)91087-P contributor: fullname: Palumbo – volume: 42 start-page: 858 year: 1995 ident: 10.1016/0370-2693(95)01252-4_BIB2_3 contributor: fullname: Cahill – volume: 21 start-page: 2308 year: 1980 ident: 10.1016/0370-2693(95)01252-4_BIB3_1 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.21.2308 contributor: fullname: Creutz – volume: 44 start-page: R946 year: 1991 ident: 10.1016/0370-2693(95)01252-4_BIB1_5 publication-title: Phys. Rev. D doi: 10.1103/PhysRevD.44.R946 contributor: fullname: Becchi – volume: 304 start-page: 307 year: 1993 ident: 10.1016/0370-2693(95)01252-4_BIB4 publication-title: Phys. Lett. B doi: 10.1016/0370-2693(93)90300-7 contributor: fullname: Cahill – volume: 388 start-page: 595 year: 1992 ident: 10.1016/0370-2693(95)01252-4_BIB1_6 publication-title: Nucl. Phys. B doi: 10.1016/0550-3213(92)90555-P contributor: fullname: Becchi – volume: Vol. II start-page: 1715 year: 1995 ident: 10.1016/0370-2693(95)01252-4_BIB2_2 contributor: fullname: Cahill – volume: 250 start-page: 212 year: 1990 ident: 10.1016/0370-2693(95)01252-4_BIB1_2 publication-title: Phys. Lett. B doi: 10.1016/0370-2693(90)91179-F contributor: fullname: Palumbo – volume: 244 start-page: 55 year: 1990 ident: 10.1016/0370-2693(95)01252-4_BIB1_1 publication-title: Phys. Lett. B doi: 10.1016/0370-2693(90)90268-B contributor: fullname: Palumbo – volume: 258 start-page: 189 year: 1991 ident: 10.1016/0370-2693(95)01252-4_BIB1_3 publication-title: Phys. Lett. B doi: 10.1016/0370-2693(91)91230-S contributor: fullname: Palumbo – ident: 10.1016/0370-2693(95)01252-4_BIB2_1 contributor: fullname: Cahill – volume: 45 start-page: 313 year: 1980 ident: 10.1016/0370-2693(95)01252-4_BIB3_2 publication-title: PHys. Rev. Lett. doi: 10.1103/PhysRevLett.45.313 contributor: fullname: Creutz |
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Snippet | 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)... |
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StartPage | 239 |
SubjectTerms | High Energy Physics - Theory Physics |
Title | Noncompact, gauge-invariant simulations of U(1), SU(2) and SU(3) |
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