Topological susceptibility at $T>T_{\rm c}$ from master-field simulations of the SU(3) gauge theory

Giusti, Leonardo; Lüscher, Martin

doi:10.1140/epjc/s10052-019-6706-7

Topological susceptibility at $T>T_{\rm c}$ from master-field simulations of the SU(3) gauge theory

Leonardo Giusti
(
- Milan Bicocca U. and
- INFN, Milan Bicocca
)
,
Martin Lüscher
(
- CERN and
- U. Bern, AEC
)

Dec 5, 2018

19 pages

Published in:

Eur.Phys.J.C 79 (2019) 3, 207

Published: Mar 7, 2019

e-Print:

1812.02062 [hep-lat]

DOI:

10.1140/epjc/s10052-019-6706-7

Report number:

CERN-TH-2018-259

View in:

reference search46 citations

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Abstract: (Springer)

The topological susceptibility is computed in the

\mathrm{SU(3)}

gauge theory at temperatures T above the critical temperature

T_{\mathrm{c}}

using master-field simulations of very large lattices, where the infamous topology-freezing issue is effectively bypassed. Up to

T=2.0\,T_{\mathrm{c}}

no unusually large lattice effects are observed and the results obtained in the continuum limit confirm the expected rapid decay of the susceptibility with increasing temperature. As a byproduct, the reference gradient-flow time

t_0

is determined in the range of lattice spacings from 0.023 to

0.1\,\mathrm{fm}

with a precision of 2 per mille.

Note:

19 pages, 6 figures, plain TeX source

susceptibility: topological
gauge field theory: SU(3)
numerical calculations
lattice: effect
temperature: high
temperature dependence
critical phenomena
temperature: transition
flow: Wilson
continuum limit

References(39)

Figures(0)

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