具有手性相变的热致密QGP的剪切粘度和电导率

O. Soloveva, D. Fuseau, J. Aichelin, E. Bratkovskaya
{"title":"具有手性相变的热致密QGP的剪切粘度和电导率","authors":"O. Soloveva, D. Fuseau, J. Aichelin, E. Bratkovskaya","doi":"10.1103/PhysRevC.103.054901","DOIUrl":null,"url":null,"abstract":"We calculate two transport coefficients -- the shear viscosity over entropy ratio $\\eta/s$ and the ratio of the electric conductivity to the temperature $\\sigma_0/T$ -- of strongly interacting quark matter within the extended $N_f=3$ Polyakov Nambu-Jona-Lasinio (PNJL) model along the crossover transition line for moderate values of baryon chemical potential $0 \\leq \\mu_B \\leq 0.9$ GeV as well as in the vicinity of the critical endpoint (CEP) and at large baryon chemical potential $\\mu_B=1.2$ GeV, where the first-order phase transition takes place. The evaluation of the transport coefficients is performed on the basis of the effective Boltzmann equation in the relaxation time approximation. We employ two different methods for the calculation of the quark relaxation times: i) using the averaged transition rate defined via thermal averaged quark-quark and quark-antiquark PNJL cross sections and ii) using the 'weighted' thermal averaged quark-quark and quark-antiquark PNJL cross sections. The $\\eta/s$ and $\\sigma_0/T$ transport coefficients have a similar temperature and chemical potential behavior when approaching the chiral phase transition for the both methods for the quark relaxation time, however, the differences grow with increasing temperature. We demonstrate the effect of the first-order phase transition and of the CEP on the transport coefficients in the deconfined QCD medium.","PeriodicalId":8463,"journal":{"name":"arXiv: Nuclear Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition\",\"authors\":\"O. Soloveva, D. Fuseau, J. Aichelin, E. Bratkovskaya\",\"doi\":\"10.1103/PhysRevC.103.054901\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We calculate two transport coefficients -- the shear viscosity over entropy ratio $\\\\eta/s$ and the ratio of the electric conductivity to the temperature $\\\\sigma_0/T$ -- of strongly interacting quark matter within the extended $N_f=3$ Polyakov Nambu-Jona-Lasinio (PNJL) model along the crossover transition line for moderate values of baryon chemical potential $0 \\\\leq \\\\mu_B \\\\leq 0.9$ GeV as well as in the vicinity of the critical endpoint (CEP) and at large baryon chemical potential $\\\\mu_B=1.2$ GeV, where the first-order phase transition takes place. The evaluation of the transport coefficients is performed on the basis of the effective Boltzmann equation in the relaxation time approximation. We employ two different methods for the calculation of the quark relaxation times: i) using the averaged transition rate defined via thermal averaged quark-quark and quark-antiquark PNJL cross sections and ii) using the 'weighted' thermal averaged quark-quark and quark-antiquark PNJL cross sections. The $\\\\eta/s$ and $\\\\sigma_0/T$ transport coefficients have a similar temperature and chemical potential behavior when approaching the chiral phase transition for the both methods for the quark relaxation time, however, the differences grow with increasing temperature. We demonstrate the effect of the first-order phase transition and of the CEP on the transport coefficients in the deconfined QCD medium.\",\"PeriodicalId\":8463,\"journal\":{\"name\":\"arXiv: Nuclear Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Nuclear Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1103/PhysRevC.103.054901\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Nuclear Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/PhysRevC.103.054901","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4

摘要

在扩展的$N_f=3$ Polyakov nambujna - lasinio (PNJL)模型中,我们计算了强相互作用夸克物质沿交叉过渡线的两个输运系数——剪切粘度除以熵比$\eta/s$和电导率与温度的比值$\sigma_0/T$,用于中等重子化学势$0 \leq \mu_B \leq 0.9$ GeV以及临界端点(CEP)附近和大重子化学势$\mu_B=1.2$ GeV,一阶相变发生的地方。在弛豫时间近似的有效玻尔兹曼方程的基础上进行了输运系数的计算。我们采用了两种不同的方法来计算夸克弛豫时间:i)使用由热平均夸克-夸克和夸克-反夸克PNJL截面定义的平均跃迁速率,ii)使用“加权”热平均夸克-夸克和夸克-反夸克PNJL截面。对于夸克弛豫时间,两种方法的输运系数$\eta/s$和$\sigma_0/T$在接近手性相变时具有相似的温度和化学势行为,但差异随着温度的升高而增大。我们证明了一阶相变和CEP对定义的QCD介质中输运系数的影响。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Shear viscosity and electric conductivity of a hot and dense QGP with a chiral phase transition
We calculate two transport coefficients -- the shear viscosity over entropy ratio $\eta/s$ and the ratio of the electric conductivity to the temperature $\sigma_0/T$ -- of strongly interacting quark matter within the extended $N_f=3$ Polyakov Nambu-Jona-Lasinio (PNJL) model along the crossover transition line for moderate values of baryon chemical potential $0 \leq \mu_B \leq 0.9$ GeV as well as in the vicinity of the critical endpoint (CEP) and at large baryon chemical potential $\mu_B=1.2$ GeV, where the first-order phase transition takes place. The evaluation of the transport coefficients is performed on the basis of the effective Boltzmann equation in the relaxation time approximation. We employ two different methods for the calculation of the quark relaxation times: i) using the averaged transition rate defined via thermal averaged quark-quark and quark-antiquark PNJL cross sections and ii) using the 'weighted' thermal averaged quark-quark and quark-antiquark PNJL cross sections. The $\eta/s$ and $\sigma_0/T$ transport coefficients have a similar temperature and chemical potential behavior when approaching the chiral phase transition for the both methods for the quark relaxation time, however, the differences grow with increasing temperature. We demonstrate the effect of the first-order phase transition and of the CEP on the transport coefficients in the deconfined QCD medium.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信