Chiral transition and the chiral charge density of the hot and dense QCD matter.
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Springer
Received: April 22, 2020 Accepted: June 3, 2020 Published: June 19, 2020
Chiral transition and the chiral charge density of the hot and dense QCD matter.
a
Department of Nuclear Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China b Collaborative Innovation Center of Radiation Medicine of Jiangsu Higher Education Institutions, Nanjing 211106, China c College of Physics, Sichuan University, Chengdu 610064, China d College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China e Department of Physics, Nanjing University, Nanjing 210093, China f Department of Physics, Anhui Normal University, Wuhu, Anhui 241000, China g Nanjing Institute of Proton Source Technology, Nanjing 210046, China
E-mail: [email protected], [email protected], [email protected], [email protected], [email protected], [email protected] Abstract: We study the chirally imbalanced hot and dense strongly interacting matter by means of the Dyson-Schwinger equations (DSEs). The chiral phase diagram is studied in ¯ is obtained the presence of chiral chemical potential µ5 . The chiral quark condensate hψψi with the Cornwall-Jackiw-Tomboulis (CJT) effective action in concert with the Rainbow truncation. Catalysis effect of dynamical chiral symmetry breaking (DCSB) by µ5 is observed. We examine with two popular gluon models and consistency is found within the DSE approach, as well as in comparison with lattice QCD. The critical end point (CEP) location (µE , TE ) shifts toward larger TE but constant µE as µ5 increases. A technique is then introduced to compute the chiral charge density n5 from the fully dressed quark propagator. We find the n5 generally increases with temperature T , quark number chemical potential µ and µ5 . Since the chiral magnetic effect (CME) is typically investigated with peripheral collisions, we also investigate the finite size effect on n5 and find an increase in n5 with smaller system size. Keywords: Phenomenological Models, QCD Phenomenology ArXiv ePrint: 2004.09918
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP06(2020)122
JHEP06(2020)122
Chao Shi,a,b Xiao-Tao He,a Wen-Bao Jia,a,b Qing-Wu Wang,c Shu-Sheng Xud and Hong-Shi Zonge,f,g
Contents 1
2 Quark DSE at finite chiral chemical potential
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3 Chiral phase diagram at finite chiral chemical potential
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4 The chiral charge density
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5 Summary
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12
Introduction
In the heavy ion collision (HIC), a non-vanishing chiral charge N5 may be induced through the Adler-Bell-Jackiw anomaly [1–3] due to topologically non-trivial gluon configurations [4, 5] Z g 2 NF N5 = NR − NL = − d4 xµνλσ Faµν Faλσ . (1.1) 32π 2 The NR,L denotes the net number of quarks (minus antiquarks) with right- or left-handed chirality, so N5 is the net number of right handed quark over left handed ones. Nonvanishing N5 in a strong magnetic field could result in the chiral magnetic effect (CME) [6– 8], i.e., an electric current can be induced along the direction of the magnetic
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