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改进的PNJL模型下QCD的相图

唐占铎 邵国运 高雪艳 高宁 贺伟博

唐占铎, 邵国运, 高雪艳, 高宁, 贺伟博. 改进的PNJL模型下QCD的相图[J]. 原子核物理评论, 2017, 34(3): 575-579. doi: 10.11804/NuclPhysRev.34.03.575
引用本文: 唐占铎, 邵国运, 高雪艳, 高宁, 贺伟博. 改进的PNJL模型下QCD的相图[J]. 原子核物理评论, 2017, 34(3): 575-579. doi: 10.11804/NuclPhysRev.34.03.575
TANG Zhanduo, SHAO Guoyun, GAO Xueyan, GAO Ning, HE Weibo. QCD Phase Diagram in the Improved PNJL Model[J]. Nuclear Physics Review, 2017, 34(3): 575-579. doi: 10.11804/NuclPhysRev.34.03.575
Citation: TANG Zhanduo, SHAO Guoyun, GAO Xueyan, GAO Ning, HE Weibo. QCD Phase Diagram in the Improved PNJL Model[J]. Nuclear Physics Review, 2017, 34(3): 575-579. doi: 10.11804/NuclPhysRev.34.03.575

改进的PNJL模型下QCD的相图

doi: 10.11804/NuclPhysRev.34.03.575
基金项目: 国家自然科学基金资助项目(11305121);高等学校博士学科点专项科研基金(20130201120046);陕西省自然科学基础研究计划(2014JQ1012)
详细信息
    作者简介:

    唐占铎(1992-),男,甘肃临夏人,在读硕士,从事理论物理研究,E-mail:ttt1992@stu.xjtu.edu.cn

  • 中图分类号: O572.24+3

QCD Phase Diagram in the Improved PNJL Model

Funds: National Natural Science Foundation of China (11305121); Specialized Research Fund for Doctoral Program of Higher Education (20130201120046); Natural Science Basic Research Plan in Shaanxi Province of China(2014JQ1012)
  • 摘要: Polyakov-Nambu-Jona-Lasinio(PNJL)模型是研究强相互作用物质性质的使用最为广泛的有效模型之一。在PNJL模型的基础上考虑了手征凝聚和Polyakov圈之间的纠缠作用,并且引入了化学势修正的Polyakov有效势,由此得到了化学势依赖的entangled PNJL(μEPNJL)模型。在平均场框架下的计算结果表明:相较于原始的PNJL模型,由μEPNJL模型计算得到的临界点(CEP)朝着温度更高、化学势更小处移动,并且手征对称性恢复相变和退禁闭相变在较大的化学势范围内都重合得很好。通过与STAR合作组在相对论重离子对撞机(RHIC)上进行的净质子数分布的测量结果相比,可以发现,通过适当的参数调节,由μEPNJL模型计算得到的CEP更加靠近实验预言的CEP可能存在的区域。


    Polyakov-Nambu-Jona-Lasinio (PNJL) model is one of the most popular effective quark models to investigate the properties of strongly interacting matter. Based on the PNJL model, we consider the entanglement interactions between the chiral condensate and Polyakov-loop, as well as the chemical potential modification of Polyakov-loop potential simultaneously, which is named μEPNJL model. Compared with the original PNJL model, the calculations in the mean field approximation show that the critical end point (CEP) given in the μEPNJL model moves towards higher temperature and smaller chemical potential in the T-μ phase diagram. Besides, the chiral symmetry restoration and deconfinement phase transition coincide well in a wide range of chemical potential. Comparing our calculations with the measurement of the moments of net-proton multiplicity distributions at Relativistic Heavy-Ion Collider (RHIC) by STAR Collaboration, we find that the CEP given by μEPNJL model can be closer to the range predicted by the experiment through appropriate parameter adjustment.
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出版历程
  • 收稿日期:  2016-11-10
  • 修回日期:  2017-05-19
  • 刊出日期:  2017-07-18

改进的PNJL模型下QCD的相图

doi: 10.11804/NuclPhysRev.34.03.575
    基金项目:  国家自然科学基金资助项目(11305121);高等学校博士学科点专项科研基金(20130201120046);陕西省自然科学基础研究计划(2014JQ1012)
    作者简介:

    唐占铎(1992-),男,甘肃临夏人,在读硕士,从事理论物理研究,E-mail:ttt1992@stu.xjtu.edu.cn

  • 中图分类号: O572.24+3

摘要: Polyakov-Nambu-Jona-Lasinio(PNJL)模型是研究强相互作用物质性质的使用最为广泛的有效模型之一。在PNJL模型的基础上考虑了手征凝聚和Polyakov圈之间的纠缠作用,并且引入了化学势修正的Polyakov有效势,由此得到了化学势依赖的entangled PNJL(μEPNJL)模型。在平均场框架下的计算结果表明:相较于原始的PNJL模型,由μEPNJL模型计算得到的临界点(CEP)朝着温度更高、化学势更小处移动,并且手征对称性恢复相变和退禁闭相变在较大的化学势范围内都重合得很好。通过与STAR合作组在相对论重离子对撞机(RHIC)上进行的净质子数分布的测量结果相比,可以发现,通过适当的参数调节,由μEPNJL模型计算得到的CEP更加靠近实验预言的CEP可能存在的区域。


Polyakov-Nambu-Jona-Lasinio (PNJL) model is one of the most popular effective quark models to investigate the properties of strongly interacting matter. Based on the PNJL model, we consider the entanglement interactions between the chiral condensate and Polyakov-loop, as well as the chemical potential modification of Polyakov-loop potential simultaneously, which is named μEPNJL model. Compared with the original PNJL model, the calculations in the mean field approximation show that the critical end point (CEP) given in the μEPNJL model moves towards higher temperature and smaller chemical potential in the T-μ phase diagram. Besides, the chiral symmetry restoration and deconfinement phase transition coincide well in a wide range of chemical potential. Comparing our calculations with the measurement of the moments of net-proton multiplicity distributions at Relativistic Heavy-Ion Collider (RHIC) by STAR Collaboration, we find that the CEP given by μEPNJL model can be closer to the range predicted by the experiment through appropriate parameter adjustment.

English Abstract

唐占铎, 邵国运, 高雪艳, 高宁, 贺伟博. 改进的PNJL模型下QCD的相图[J]. 原子核物理评论, 2017, 34(3): 575-579. doi: 10.11804/NuclPhysRev.34.03.575
引用本文: 唐占铎, 邵国运, 高雪艳, 高宁, 贺伟博. 改进的PNJL模型下QCD的相图[J]. 原子核物理评论, 2017, 34(3): 575-579. doi: 10.11804/NuclPhysRev.34.03.575
TANG Zhanduo, SHAO Guoyun, GAO Xueyan, GAO Ning, HE Weibo. QCD Phase Diagram in the Improved PNJL Model[J]. Nuclear Physics Review, 2017, 34(3): 575-579. doi: 10.11804/NuclPhysRev.34.03.575
Citation: TANG Zhanduo, SHAO Guoyun, GAO Xueyan, GAO Ning, HE Weibo. QCD Phase Diagram in the Improved PNJL Model[J]. Nuclear Physics Review, 2017, 34(3): 575-579. doi: 10.11804/NuclPhysRev.34.03.575
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