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

Abstract

Using Monte Carlo simulations with overrelaxation, we have equilibrated lattices up to β = 2.928 , size 60 4 , 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.

Authors:
;
Publication Date:
Research Org.:
Florida State Univ., Tallahassee, FL (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1426338
Alternate Identifier(s):
OSTI ID: 1498845
Grant/Contract Number:  
SC0010102; AC02-05CH11231; sc0010102
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 5; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Berg, Bernd A., and Clarke, David A. Topological charge and cooling scales in pure SU(2) lattice gauge theory. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.054506.
Berg, Bernd A., & Clarke, David A. Topological charge and cooling scales in pure SU(2) lattice gauge theory. United States. doi:10.1103/PhysRevD.97.054506.
Berg, Bernd A., and Clarke, David A. Thu . "Topological charge and cooling scales in pure SU(2) lattice gauge theory". United States. doi:10.1103/PhysRevD.97.054506.
@article{osti_1426338,
title = {Topological charge and cooling scales in pure SU(2) lattice gauge theory},
author = {Berg, Bernd A. and Clarke, David A.},
abstractNote = {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 χ1/4/Tc = 0.643 ( 12 ) , where Tc 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.},
doi = {10.1103/PhysRevD.97.054506},
journal = {Physical Review D},
number = 5,
volume = 97,
place = {United States},
year = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.054506

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Cited by: 1 work
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Figures / Tables:

Figure 1 Figure 1: 164, β = 2.3: Cooling time series $Q^{2048}(i_c)$

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Works referenced in this record:

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