Relativistic spin transport theory for spin-1/2 fermions

Gao Jian-Hua; Sheng Xin-Li; Wang Qun; Zhuang Peng-Fei

doi:10.7498/aps.72.20222470

Abstract

Global polarization effect is an important physical phenomenon reflecting spin-orbit couplings in heavy ion collisions. Since STAR’s observation of the global polarization of $\Lambda$ hyperons in Au+Au collisions in 2017, this effect has attracted a lot of interests in the field. In the hot and dense matter produced in heavy ion collisions, the spin-orbit couplings come from non-local collisions between particles, in which the orbital angular momentum involves the space and momentum information of the colliding particles, so it is necessary to describe the particle collisions with spin-orbit couplings in phase space. In addition, the spin-orbit coupling is a quantum effect, which requires quantum theory. In combination of two aspects, the quantum kinetic theory based on covariant Wigner functions has become a powerful tool to describe the global polarization effect. In this paper, we introduce the quantum kinetic theory for spin-1/2 Fermion system based on Wigner functions as well as the spin transport theory developed on this basis. The recent research progress of spin transport theory provides a solid theoretical foundation for simulating the space-time evolution of spin polarization effects in heavy ion collisions.

Keywords:

Authors and contacts

1.
Shandong Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, School of Space Science and Physics, Shandong University, Weihai 264209, China
2.
INFN-Firenze, Via Giovanni Sansone, 1, 50019 Sesto Fiorentino FI, Italy
3.
Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
4.
Department of Physics, Tsinghua University, Beijing 100084, China

Corresponding author: Gao Jian-Hua, gaojh@sdu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11890710, 11890713, 12175123, 12135011)

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References

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[62]	Zhang J J, Fang R H, Wang Q, Wang X N 2019 Phys. Rev. C 100 064904
[63]	Martin P C, Schwinger J S 1959 Phys. Rev. 115 1342 Google Scholar
[64]	Keldysh L V 1964 Zh. Eksp. Thero. Fiz. 47 1515
[65]	Fang S, Pu S, Yang D L 2022 Phys. Rev. D 106 016002 Google Scholar
[66]	Wang Z, Guo X, Zhuang P 2021 Eur. Phys. J. C 81 799 Google Scholar
[67]	Sheng X L, Wang Q, Rischke D H 2022 Phys. Rev. D 106 L111901 Google Scholar
[68]	Wang Z, Zhuang P 2021 arXiv: 2105.00915
[69]	Gao J H, Qi B, Wang S Y 2014 Phys. Rev. D 90 083001 Google Scholar
[70]	Wu H Z, Pang L G, Huang X G, Wang Q 2019 Phys. Rev. Rese. 1 033058
[71]	Lin S 2022 Phys. Rev. D 105 076017 Google Scholar
[72]	Yang D L 2022 JHEP 06 140

Cited By

[1]	Liang Z T, Wang X N 2005 Phys. Rev. Lett. 94 102301 (Erratum: Phys. Rev. Lett. 96 039901)
[2]	Adamczyk L, et al. [STAR Collaboration]. 2017 Nature 548 62
[3]	Gao J H, Chen S W, Deng W T, Liang Z T, Wang Q, Wang X N 2008 Phys. Rev. C 77 044902 Google Scholar
[4]	Huang X G, Huovinen P, Wang X N 2011 Phys. Rev. C 84 054910 Google Scholar
[5]	Zhang J J, Fang R H, Wang Q, Wang X N 2019 Phys. Rev. C 100 064904 Google Scholar
[6]	Liang Z T, Song J, Upsal I, Wang Q, Xu Z B 2021 Chin. Phys. C 45 014102 Google Scholar
[7]	Becattini F, Piccinini F, Rizzo J 2008 Phys. Rev. C 77 024906 Google Scholar
[8]	Becattini F, Chandra V, Del Zanna L, Grossi E 2013 Annals Phys. 338 32 Google Scholar
[9]	Becattini F, Florkowski W, Speranza E 2019 Phys. Lett. B 789 419 Google Scholar
[10]	Becattini F, Buzzegoli M, Grossi E 2019 Particles 2 197 Google Scholar
[11]	Fang R H, Pang L G, Wang Q, Wang X N 2016 Phys. Rev. C 94 024904 Google Scholar
[12]	Gao J H, Liang Z T 2019 Phys. Rev. D 100 056021 Google Scholar
[13]	Weickgenannt N, Sheng X L, Speranza E, Wang Q, Rischke D H 2019 Phys. Rev. D 100 056018 Google Scholar
[14]	Wang Z, Guo X, Shi S, Zhuang P 2019 Phys. Rev. D 100 014015
[15]	Hattori K, Hidaka Y, Yang D L 2019 Phys. Rev. D 100 096011 Google Scholar
[16]	Liu Y C, Mameda K, Huang X G 2020 Chin. Phys. C 44 094101 [Erratum: 2021 Chin. Phys. C 45 089001]
[17]	Sheng X L, Wang Q, Huang X G 2020 Phys. Rev. D 102 025019
[18]	Yang D L, Hattori K, Hidaka Y 2020 JHEP 07 070
[19]	Weickgenannt N, Speranza E, Sheng X L, Wang Q, Rischke D H 2021 Phys. Rev. Lett. 127 052301 Google Scholar
[20]	Weickgenannt N, Speranza E, Sheng X L, Wang Q, Rischke D H 2021 Phys. Rev. D 104 016022 Google Scholar
[21]	Sheng X L, Weickgenannt N, Speranza E, Rischke D H, Wang Q 2021 Phys. Rev. D 104 016029 Google Scholar
[22]	Florkowski W, Friman B, Jaiswal A, Speranza E 2018 Phys. Rev. C 97 041901 Google Scholar
[23]	Florkowski W, Friman B, Jaiswal A, Ryblewski R, Speranza E 2018 Phys. Rev. D 97 116017 Google Scholar
[24]	Hattori K, Hongo M, Huang X G, Matsuo M, Taya H 2019 Phys. Lett. B 795 100 Google Scholar
[25]	Hongo M, Huang X G, Kaminski M, Stephanov M, Yee H Y 2021 JHEP 11 150
[26]	Weickgenannt N, Wagner D, Speranza E, Rischke D H 2022 Phys. Rev. D 106 096014 Google Scholar
[27]	Huang X G, Liao J, Wang Q, Xia X L 2021 Lect. Notes Phys. 987 281
[28]	Gao J H, Liang Z T, Wang Q, Wang X N 2021 Lect. Notes Phys. 987 195
[29]	Liu Y C, Huang X G 2020 Nucl. Sci. Tech. 31 56 Google Scholar
[30]	Jiang Y, Guo X, Zhuang P 2021 Lect. Notes Phys. 987 167
[31]	Gao J H, Liang Z T, Wang Q 2021 Int. J. Mod. Phys. A 36 2130001 Google Scholar
[32]	Hidaka Y, Pu P, Wang Q, Yang D L 2022 Prog. Part. Nucl. Phys. 127 103989 Google Scholar
[33]	Gao J H, Ma G L, Pu S, Wang Q 2020 Nucl. Sci. Tech. 31 90 Google Scholar
[34]	Stephanov M A, Yin Y 2012 Phys. Rev. Lett. 109 162001 Google Scholar
[35]	Son D T, Yamamoto N 2013 Phys. Rev. D 87 085016 Google Scholar
[36]	Chen J W, Pu S, Wang Q, Wang X N 2013 Phys. Rev. Lett. 110 262301 Google Scholar
[37]	Manuel C, Torres-Rincon J M 2014 Phys. Rev. D 89 096002 Google Scholar
[38]	Manuel C, Torres-Rincon J M 2014 Phys. Rev. D 90 076007 Google Scholar
[39]	Chen J Y, Son D T, Stephanov M A, Yee H U, Yin Y 2014 Phys. Rev. Lett. 113 182302 Google Scholar
[40]	Chen J Y, Son D T, Stephanov M A 2015 Phys. Rev. Lett. 115 021601 Google Scholar
[41]	Hidaka Y, Pu S, Yang D L 2017 Phys. Rev. D 95 091901 Google Scholar
[42]	Mueller N, Venugopalan R 2018 Phys. Rev. D 97 051901 Google Scholar
[43]	Huang A, Shi S, Jiang Y, Liao J, Zhuang P 2018 Phys. Rev. D 98 036010 Google Scholar
[44]	Gao J H, Liang Z T, Wang Q, Wang X N 2018 Phys. Rev. D 98 036019 Google Scholar
[45]	Liu Y C, Gao L L, Mameda K, Huang X G 2019 Phys. Rev. D 99 085014 Google Scholar
[46]	Sun Y, Ko C M, Li F 2016 Phys. Rev. C 94 045204
[47]	Sun Y, Ko C M 2017 Phys. Rev. C 95 034909 Google Scholar
[48]	Sun Y, Ko C M 2017 Phys. Rev. C 96 024906 Google Scholar
[49]	Sun Y, Ko C M 2018 Phys. Rev. C 98 014911
[50]	Sun Y, Ko C M 2019 Phys. Rev. C 99 011903 Google Scholar
[51]	Zhou W H, Xu J 2018 Phys. Rev. C 98 044904 Google Scholar
[52]	Zhou W H, Xu J 2019 Phys. Lett. B 798 134932 Google Scholar
[53]	Liu S Y F, Sun Y, Ko C M 2020 Phys. Rev. Lett. 125 062301 Google Scholar
[54]	Wigner E P 1932 Phys. Rev. 40 749 Google Scholar
[55]	Heinz U W 1983 Phys. Rev. Lett. 51 351 Google Scholar
[56]	Elze H T, Gyulassy M, Vasak D 1986 Nucl. Phys. B 276 706 Google Scholar
[57]	Elze H T, Gyulassy M, Vasak D 1987 Annals Phys. 173 462 Google Scholar
[58]	Bialynicki-Birula I, Davis E D, Rafelski J 1993 Phys. Lett. B 311 329 Google Scholar
[59]	Zhuang P F, Heinz U W 1998 Phys. Rev. D 57 6525 Google Scholar
[60]	Guo X 2020 Chin. Phys. C 44 104106 Google Scholar
[61]	Ma S X, Gao J H 2022 arXiv: 2209.10737[hep-ph]
[62]	Zhang J J, Fang R H, Wang Q, Wang X N 2019 Phys. Rev. C 100 064904
[63]	Martin P C, Schwinger J S 1959 Phys. Rev. 115 1342 Google Scholar
[64]	Keldysh L V 1964 Zh. Eksp. Thero. Fiz. 47 1515
[65]	Fang S, Pu S, Yang D L 2022 Phys. Rev. D 106 016002 Google Scholar
[66]	Wang Z, Guo X, Zhuang P 2021 Eur. Phys. J. C 81 799 Google Scholar
[67]	Sheng X L, Wang Q, Rischke D H 2022 Phys. Rev. D 106 L111901 Google Scholar
[68]	Wang Z, Zhuang P 2021 arXiv: 2105.00915
[69]	Gao J H, Qi B, Wang S Y 2014 Phys. Rev. D 90 083001 Google Scholar
[70]	Wu H Z, Pang L G, Huang X G, Wang Q 2019 Phys. Rev. Rese. 1 033058
[71]	Lin S 2022 Phys. Rev. D 105 076017 Google Scholar
[72]	Yang D L 2022 JHEP 06 140

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