Critical phenomena and functional renormalization group

Recent progress in studies on quantum chromodynamics (QCD) phase transition and related critical phenomena within the functional renormalization group (fRG) approach were reviewed, including the nonperturbative critical exponents and baryon number fluctuations, which are pertinent to the critical en...

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Main Authors: YIN Shi, TAN Yangyang, FU Weijie
Format: Article
Language:zho
Published: Science Press 2023-04-01
Series:He jishu
Subjects:
Online Access:http://www.hjs.sinap.ac.cn/thesisDetails#10.11889/j.0253-3219.2023.hjs.46.040002&lang=zh
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author YIN Shi
TAN Yangyang
FU Weijie
author_facet YIN Shi
TAN Yangyang
FU Weijie
author_sort YIN Shi
collection DOAJ
description Recent progress in studies on quantum chromodynamics (QCD) phase transition and related critical phenomena within the functional renormalization group (fRG) approach were reviewed, including the nonperturbative critical exponents and baryon number fluctuations, which are pertinent to the critical end point (CEP) in the QCD phase diagram. The fRG is a nonperturbative continuum field approach, in which quantum thermal fluctuations are successively integrated with the evolution of the renormalization group (RG) scale. Different methods of finding solutions to the flow or fixed-point equations of a nonperturbative effective potential have been discussed, for example, the Taylor expansion, expansion of the spatial dimension ε=4-d, and the recently proposed direct solution of the global potential. Furthermore, the baryon number of fluctuations is relevant to the critical phenomena of the CEP. Both have been discussed, and one explores the underlying reasons for the observed non-monotonic dependence of the kurtosis of the net proton number of distributions on collision energy in experiments.
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spelling doaj.art-7ae4642834e5498b852d912f80155ca82023-06-01T02:35:25ZzhoScience PressHe jishu0253-32192023-04-0146404000204000210.11889/j.0253-3219.2023.hjs.46.0400020253-3219(2023)04-0015-18Critical phenomena and functional renormalization groupYIN ShiTAN YangyangFU WeijieRecent progress in studies on quantum chromodynamics (QCD) phase transition and related critical phenomena within the functional renormalization group (fRG) approach were reviewed, including the nonperturbative critical exponents and baryon number fluctuations, which are pertinent to the critical end point (CEP) in the QCD phase diagram. The fRG is a nonperturbative continuum field approach, in which quantum thermal fluctuations are successively integrated with the evolution of the renormalization group (RG) scale. Different methods of finding solutions to the flow or fixed-point equations of a nonperturbative effective potential have been discussed, for example, the Taylor expansion, expansion of the spatial dimension ε=4-d, and the recently proposed direct solution of the global potential. Furthermore, the baryon number of fluctuations is relevant to the critical phenomena of the CEP. Both have been discussed, and one explores the underlying reasons for the observed non-monotonic dependence of the kurtosis of the net proton number of distributions on collision energy in experiments.http://www.hjs.sinap.ac.cn/thesisDetails#10.11889/j.0253-3219.2023.hjs.46.040002&lang=zhqcd phase structureqcd critical end pointfunctional renormalization groupcritical phenomenarelativistic heavy ion collisions
spellingShingle YIN Shi
TAN Yangyang
FU Weijie
Critical phenomena and functional renormalization group
He jishu
qcd phase structure
qcd critical end point
functional renormalization group
critical phenomena
relativistic heavy ion collisions
title Critical phenomena and functional renormalization group
title_full Critical phenomena and functional renormalization group
title_fullStr Critical phenomena and functional renormalization group
title_full_unstemmed Critical phenomena and functional renormalization group
title_short Critical phenomena and functional renormalization group
title_sort critical phenomena and functional renormalization group
topic qcd phase structure
qcd critical end point
functional renormalization group
critical phenomena
relativistic heavy ion collisions
url http://www.hjs.sinap.ac.cn/thesisDetails#10.11889/j.0253-3219.2023.hjs.46.040002&lang=zh
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AT tanyangyang criticalphenomenaandfunctionalrenormalizationgroup
AT fuweijie criticalphenomenaandfunctionalrenormalizationgroup