Baryon number fluctuations and the phase structure in the PNJL model

Abstract We investigate the kurtosis and skewness of net-baryon number fluctuations in the Polyakov loop extended Nambu–Jona-Lasinio (PNJL) model, and discuss the relations between fluctuation distributions and the phase structure of quark-gluon matter. The calculation shows that the traces of chira...

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Main Authors: Guo-yun Shao, Zhan-duo Tang, Xue-yan Gao, Wei-bo He
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5636-0
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author Guo-yun Shao
Zhan-duo Tang
Xue-yan Gao
Wei-bo He
author_facet Guo-yun Shao
Zhan-duo Tang
Xue-yan Gao
Wei-bo He
author_sort Guo-yun Shao
collection DOAJ
description Abstract We investigate the kurtosis and skewness of net-baryon number fluctuations in the Polyakov loop extended Nambu–Jona-Lasinio (PNJL) model, and discuss the relations between fluctuation distributions and the phase structure of quark-gluon matter. The calculation shows that the traces of chiral and deconfinement transitions can be effectively reflected by the kurtosis and skewness of net-baryon number fluctuations not only in the critical region but also in the crossover region. The contour plot of baryon number kurtosis derived in the PNJL model can qualitatively explain the behavior of net-proton number kurtosis in the STAR beam energy scan experiments. Moreover, the three-dimensional presentations of the kurtosis and skewness in this study are helpful to understand the relations between baryon number fluctuations and QCD phase structure.
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spelling doaj.art-83ffe22f10aa4da485dd25fa5f1d40a12022-12-21T18:48:54ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-02-017821710.1140/epjc/s10052-018-5636-0Baryon number fluctuations and the phase structure in the PNJL modelGuo-yun Shao0Zhan-duo Tang1Xue-yan Gao2Wei-bo He3School of Science, Xi’an Jiaotong UniversitySchool of Science, Xi’an Jiaotong UniversitySchool of Science, Xi’an Jiaotong UniversitySchool of Science, Xi’an Jiaotong UniversityAbstract We investigate the kurtosis and skewness of net-baryon number fluctuations in the Polyakov loop extended Nambu–Jona-Lasinio (PNJL) model, and discuss the relations between fluctuation distributions and the phase structure of quark-gluon matter. The calculation shows that the traces of chiral and deconfinement transitions can be effectively reflected by the kurtosis and skewness of net-baryon number fluctuations not only in the critical region but also in the crossover region. The contour plot of baryon number kurtosis derived in the PNJL model can qualitatively explain the behavior of net-proton number kurtosis in the STAR beam energy scan experiments. Moreover, the three-dimensional presentations of the kurtosis and skewness in this study are helpful to understand the relations between baryon number fluctuations and QCD phase structure.http://link.springer.com/article/10.1140/epjc/s10052-018-5636-0
spellingShingle Guo-yun Shao
Zhan-duo Tang
Xue-yan Gao
Wei-bo He
Baryon number fluctuations and the phase structure in the PNJL model
European Physical Journal C: Particles and Fields
title Baryon number fluctuations and the phase structure in the PNJL model
title_full Baryon number fluctuations and the phase structure in the PNJL model
title_fullStr Baryon number fluctuations and the phase structure in the PNJL model
title_full_unstemmed Baryon number fluctuations and the phase structure in the PNJL model
title_short Baryon number fluctuations and the phase structure in the PNJL model
title_sort baryon number fluctuations and the phase structure in the pnjl model
url http://link.springer.com/article/10.1140/epjc/s10052-018-5636-0
work_keys_str_mv AT guoyunshao baryonnumberfluctuationsandthephasestructureinthepnjlmodel
AT zhanduotang baryonnumberfluctuationsandthephasestructureinthepnjlmodel
AT xueyangao baryonnumberfluctuationsandthephasestructureinthepnjlmodel
AT weibohe baryonnumberfluctuationsandthephasestructureinthepnjlmodel