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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Format: | Article |
Language: | zho |
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Science Press
2023-04-01
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Series: | He jishu |
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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. |
first_indexed | 2024-03-13T08:08:23Z |
format | Article |
id | doaj.art-7ae4642834e5498b852d912f80155ca8 |
institution | Directory Open Access Journal |
issn | 0253-3219 |
language | zho |
last_indexed | 2024-03-13T08:08:23Z |
publishDate | 2023-04-01 |
publisher | Science Press |
record_format | Article |
series | He jishu |
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 |
work_keys_str_mv | AT yinshi criticalphenomenaandfunctionalrenormalizationgroup AT tanyangyang criticalphenomenaandfunctionalrenormalizationgroup AT fuweijie criticalphenomenaandfunctionalrenormalizationgroup |