Topological charge and cooling scales in pure SU(2) lattice gauge theory

Berg, Bernd A.; Clarke, David A.

doi:10.1103/physrevd.97.054506

Title: Topological charge and cooling scales in pure SU(2) lattice gauge theory

Journal Article · 15 March 2018 · Physical Review D

DOI: https://doi.org/10.1103/physrevd.97.054506 · OSTI ID:1426338

Berg, Bernd A. ^[1]; Clarke, David A. ^[1]

Florida State Univ., Tallahassee, FL (United States)

Using Monte Carlo simulations with overrelaxation, we have equilibrated lattices up to β = 2.928 , size 60⁴ , for pure SU(2) lattice gauge theory with the Wilson action. We calculate topological charges with the standard cooling method and find that they become more reliable with increasing β values and lattice sizes. Continuum limit estimates of the topological susceptibility χ are obtained of which we favor χ^1/4/T_c = 0.643 ( 12 ) , where T_c is the SU(2) deconfinement temperature. Differences between cooling length scales in different topological sectors turn out to be too small to be detectable within our statistical errors.

View Journal Article

Cite

Export

Save

Research Organization:: Florida State Univ., Tallahassee, FL (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: sc0010102; AC02-05CH11231

OSTI ID:: 1426338

Alternate ID(s):: OSTI ID: 1498845

Journal Information:: Physical Review D, Vol. 97, Issue 5; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

References (18)

Dislocations and topological background in the lattice O(3) σ-model Berg, B. Physics Letters B, Vol. 104, Issue 6 https://doi.org/10.1016/0370-2693(81)90518-9	journal	September 1981
Topology of the SU (2) vacuum: a lattice study using improved cooling de Forcrand, Philippe; García Pérez, Margarita; Stamatescu, Ion-Olimpiu Nuclear Physics B, Vol. 499, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00275-7	journal	August 1997
Lattice QCD without topology barriers Lüscher, Martin; Schaefer, Stefan Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)036	journal	July 2011
Scaling and asymptotic scaling in the SU(2) gauge theory Fingberg, J.; Heller, U.; Karsch, F. Nuclear Physics B, Vol. 392, Issue 2 https://doi.org/10.1016/0550-3213(93)90682-F	journal	March 1993
θ dependence of SU(N) gauge theories in the presence of a topological term Vicari, Ettore; Panagopoulos, Haralambos Physics Reports, Vol. 470, Issue 3-4 https://doi.org/10.1016/j.physrep.2008.10.001	journal	January 2009
The topological susceptibility in SU(2) lattice gauge theory: An exploratory study Teper, M. Physics Letters B, Vol. 171, Issue 1 https://doi.org/10.1016/0370-2693(86)91004-X	journal	April 1986
The high temperature phase transition in SU(N) gauge theories Lucini, Biagio; Teper, Michael; Wenger, Urs Journal of High Energy Physics, Vol. 2004, Issue 01 https://doi.org/10.1088/1126-6708/2004/01/061	journal	January 2004
QCD at fixed topology Brower, R.; Chandrasekharan, S.; Negele, J. W. Physics Letters B, Vol. 560, Issue 1-2 https://doi.org/10.1016/S0370-2693(03)00369-1	journal	May 2003
Finite volume QCD at fixed topological charge Aoki, Sinya; Fukaya, Hidenori; Hashimoto, Shoji Physical Review D, Vol. 76, Issue 5 https://doi.org/10.1103/PhysRevD.76.054508	journal	September 2007
Erratum: Properties and uses of the Wilson flow in lattice QCD Lüscher, Martin Journal of High Energy Physics, Vol. 2014, Issue 3 https://doi.org/10.1007/JHEP03(2014)092	journal	March 2014
Properties and uses of the Wilson flow in lattice QCD Lüscher, Martin Journal of High Energy Physics, Vol. 2010, Issue 8 https://doi.org/10.1007/JHEP08(2010)071	journal	August 2010
Comparison of the gradient flow with cooling in S U ( 3 ) pure gauge theory Bonati, Claudio; D’Elia, Massimo Physical Review D, Vol. 89, Issue 10 https://doi.org/10.1103/PhysRevD.89.105005	journal	May 2014
First evidence for the existence of instantons in the quantized SU(2) lattice vacuum Ilgenfritz, E. -M.; laursen, M. L.; Müller-Preuβker, M. Nuclear Physics B, Vol. 268, Issue 3-4 https://doi.org/10.1016/0550-3213(86)90265-8	journal	May 1986
Deconfinement, gradient, and cooling scales for pure SU(2) lattice gauge theory Berg, Bernd A.; Clarke, David A. Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.094508	journal	May 2017
θ dependence of SU( N ) gauge theories Debbio, Luigi Del; Panagopoulos, Haralambos; Vicari, Ettore Journal of High Energy Physics, Vol. 2002, Issue 08 https://doi.org/10.1088/1126-6708/2002/08/044	journal	August 2002
Topology at zero and finite T in SU(2) Yang-Mills theory Allés, B.; D'Elia, M.; Di Giacomo, A. Physics Letters B, Vol. 412, Issue 1-2 https://doi.org/10.1016/S0370-2693(97)01059-9	journal	October 1997
SU( N ) gauge theories in four dimensions: exploring the approach to N = ∞ Lucini, Biagio; Teper, Mike Journal of High Energy Physics, Vol. 2001, Issue 06 https://doi.org/10.1088/1126-6708/2001/06/050	journal	May 2001
Topological structure in the SU (2) vacuum DeGrand, Thomas; Hasenfratz, Anna; Kovács, Tamás G. Nuclear Physics B, Vol. 505, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00480-X	journal	November 1997