Skip to main content

Quantum Kinetic Description of Spin and Rotation

  • Chapter
  • First Online:
Strongly Interacting Matter under Rotation

Part of the book series: Lecture Notes in Physics ((LNP,volume 987))

Abstract

Motivated by the generation of extremely strong axial vector fields, i.e., magnetic and vortical fields, and development of hadron polarization measurement in relativistic heavy ion collisions, the quantum kinetic theory becomes more and more important in the phenomenological study on the quark–gluon plasma evolution. In this chapter the quantum correction is introduced intuitively with canonical quantization and path integral approaches. The quantum kinetic theory formulated with Wigner function is discussed in detail to develop the quantum transport equations for chiral and massive fermions. As a straightforward application the polarization and anomaly effect are studied in the presence of background magnetic field and vorticity distribution. Finally the experimental results and numerical simulation frameworks are briefly reviewed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Elze, H.-T., Heinz, U.: Phys. Rep. 183, 81 (1989). ISSN 0370-1573

    Google Scholar 

  2. Chen, J.-W., Pu, S., Wang, Q., Wang, X.-N.: Phys. Rev. Lett. 110 (2013)

    Google Scholar 

  3. Bialynicki-Birula, I., Górnicki, P., Rafelski, J.: Phys. Rev. D 44, 1825 (1991). ISSN 0556-2821

    Google Scholar 

  4. Zhuang, P., Heinz, U.: Ann. Phys. 245, 311 (1996). ISSN 0003-4916

    Google Scholar 

  5. Zhuang, P., Heinz, U.: Phys. Rev. D 53, 2096 (1996). ISSN 0556-2821, 1089-4918

    Google Scholar 

  6. Zhuang, P., Heinz, U.: Phys. Rev. D 57, 6525 (1998). ISSN 0556-2821, 1089-4918

    Google Scholar 

  7. Ochs, S., Heinz, U.: Ann. Phys. 266, 351 (1998). ISSN 0003-4916

    Google Scholar 

  8. Stephanov, M.A., Yin, Y.: Phys. Rev. Lett. 109 (2012)

    Google Scholar 

  9. Xiao, D., Chang, M.C., Niu, Q.: Rev. Mod. Phys. 82, 1959 (2010)

    Article  ADS  Google Scholar 

  10. Wang, Z., Guo, X., Zhuang, P.: [arXiv:2009.10930 [hep-th]]

  11. Son, D.T., Yamamoto, N.: Phys. Rev. Lett. 109 (2012)

    Google Scholar 

  12. Son, D.T., Yamamoto, N.: Phys. Rev. D 87, 085016 (2013). ISSN 1550-7998, 1550-2368

    Google Scholar 

  13. Fukushima, K., Kharzeev, D.E., Warringa, H.J.: Phys. Rev. D 78 (2008)

    Google Scholar 

  14. Kharzeev, D.E.: Ann. Phys. 325, 205 (2010). ISSN 00034916, arXiv: 0911.3715

  15. Carignano, S., Manuel, C., Torres-Rincon, J.M.: Phys. Rev. D 98 (2018). ISSN 2470-0010, 2470-0029, arXiv:1806.01684

  16. Mueller, N., Venugopalan, R.: arXiv:1712.04057 [hep-ph, physics:hep-th, physics:nucl-th] (2017).

  17. Mueller, N., Venugopalan, R.: Phys. Rev. D 96 (2017). ISSN 2470-0010, 2470-0029, arXiv: 1702.01233

  18. Wigner, E.: Phys. Rev. 40, 749 (1932). ISSN 0031-899X

    Google Scholar 

  19. Vasak, D., Gyulassy, M., Elze, H.-T.: Ann. Phys. 173, 462 (1987). ISSN 0003-4916

    Google Scholar 

  20. Guo, X., Zhuang, P.: Phys. Rev. D 98, 016007 (2018). ISSN 2470-0010, 2470-0029

    Google Scholar 

  21. Weickgenannt, N., Sheng, X.-l., Speranza, E., Wang, Q., Rischke, D.H.: arXiv:1902.06513 [hep-ph] (2019).

  22. Gao, J.-H., Liang, Z.-T.: Phys. Rev. D 100, 056021 (2019). ISSN 2470-0010, 2470-0029, arXiv: 1902.06510

  23. Hattori, K., Hidaka, Y., Yang, D.-L.: arXiv:1903.01653 [hep-ph, physics:hep-th, physics:nucl-th] (2019)

  24. Huang, A., Shi, S., Jiang, Y., Liao, J., Zhuang, P.: Phys. Rev. D 98 (2018)

    Google Scholar 

  25. Gao, J.-H., Pang, J.-Y., Wang, Q.: arXiv:1810.02028 [nucl-th] (2018)

  26. Huang, A., Jiang, Y., Shi, S., Liao, J., Zhuang, P.: Phys. Lett. B 777, 177 (2018). ISSN 0370-2693, arXiv: 1703.08856

  27. Gao, J.-H., Liang, Z.-T., Wang, Q.: arXiv:1910.11060 [hep-ph, physics:hep-th, physics:nucl-th] (2019)

  28. Gao, J.-H., Pang, J.-Y., Wang, Q.: Phys. Rev. D 100, 016008 (2019). ISSN 2470-0010, 2470-0029

    Google Scholar 

  29. Hidaka, Y., Pu, S., Yang, D.-L.: Phys. Rev. D 95, 091901 (2017). ISSN 2470-0010, 2470-0029

    Google Scholar 

  30. Yang, D.-L.: Phys. Rev. D 98 (2018). ISSN 2470-0010, 2470-0029, arXiv: 1807.02395

  31. Bargmann, V., Michel, L., Telegdi, V.L.: Phys. Rev. Lett. 2, 435 (1959). ISSN 0031-9007

    Google Scholar 

  32. De Groot, S.R., Van Leeuwen, W.A., Van Weert, C.G.: Relativistic Kinetic Theory. Principles and Applications. North-Holland (1980)

    Google Scholar 

  33. Hidaka, Y., Pu, S., Yang, D.-L.: arXiv:1807.05018 [hep-ph, physics:hep-th, physics:nucl-th] (2018)

  34. Li, S., Yee, H.-U.: Phys. Rev. D 100, 056022 (2019). ISSN 2470-0010, 2470-0029

    Google Scholar 

  35. Carignano, S., Manuel, C., Torres-Rincon, J.M.: Phys. Rev. D 98(7), 076005 (2018). https://doi.org/10.1103/PhysRevD.98.076005, [arXiv:1806.01684 [hep-ph]]

  36. Florkowski, W., Kumar, A., Ryblewski, R.: Phys. Rev. C 98, 044906 (2018). ISSN 2469-9985, 2469-9993

    Google Scholar 

  37. Hidaka, Y., Pu, S., Yang, D.-L.: Phys. Rev. D 97 (2018). ISSN 2470-0010, 2470-0029, arXiv:1710.00278

  38. Florkowski, W., Friman, B., Jaiswal, A., Speranza, E.: Phys. Rev. C 97 (2018)

    Google Scholar 

  39. Hattori, K., Hongo, M., Huang, X.-G., Matsuo, M., Taya, H.: arXiv:1901.06615 [cond-mat, physics:hep-ph, physics:hep-th, physics:nucl-th] (2019)

  40. Kumar, A.: In: Proceedings of XIII Quark Confinement and the Hadron Spectrum, PoS(Confinement2018), p. 281. Maynooth University, Ireland, Sissa Medialab (2019)

    Book  Google Scholar 

  41. Becattini, F., Chandra, V., Del Zanna, L., Grossi, E.: Ann. Phys. 338, 32 (2013). ISSN 00034916

    Google Scholar 

  42. Kharzeev, D.E., Liao, J., Voloshin, S.A., Wang, G.: Progr. Particle Nuclear Phys. 88, 1 (2016). ISSN 0146-6410

    Google Scholar 

  43. Fedorov, A.V., Zhang, C., Kharzeev, D.E., Gu, G.D., Pletikosi, I., Schneeloch, J.A.,  Li, Q., Zhong, R.D., Valla, T., Huang, Y.: Nat. Phys. 12, 550 (2016). ISSN 1745-2481

    Google Scholar 

  44. Huang, X., Zhao, L., Long, Y., Wang, P., Chen, D., Yang, Z., Liang, H., Xue, M., Weng, H., Fang, Z., et al.: Phys. Rev. X 5, 031023 (2015). ISSN 2160-3308

    Google Scholar 

  45. Xiong, J., Kushwaha, S.K., Liang, T., Krizan, J.W., Hirschberger, M., Wang, W., Cava, R.J., Ong, N.P.: Science 350, 413 (2015). ISSN 0036-8075, 1095-9203

    Google Scholar 

  46. Arnold, F., Shekhar, C., Wu, S.-C., Sun, Y., Dos Reis, R.D., Kumar, N., Naumann, M., Ajeesh, M.O., Schmidt, M., Grushin, A.G., et al.: Nat. Commun. 7, 11615 (2016). ISSN 2041-1723

    Google Scholar 

  47. Takahashi, R., Matsuo, M., Ono, M., Harii, K., Chudo, H., Okayasu, S., Ieda, J., Takahashi, S., Maekawa, S., Saitoh, E.: Nat. Phys. 12, 52 (2016). ISSN 1745-2473, 1745-2481

    Google Scholar 

  48. The STAR Collaboration: Nature 548, 62 (2017). ISSN 0028-0836, 1476-4687

    Google Scholar 

  49. Abelev, B.I., Aggarwal, M.M., Ahammed, Z., Anderson, B.D., Arkhipkin, D., Averichev, G.S., Bai, Y., Balewski, J., Barannikova, O., Barnby, L.S., et al.: Phys. Rev. C 76 (2007)

    Google Scholar 

  50. Zhang, Y.X., Wang, Y.J., Colonna, M., Danielewicz, P., Ono, A., Tsang, B., Wolter, H., Xu, J., Chen, L.W., Cozma, D., et al.: Phys. Rev. C 97(3) (2018). https://doi.org/10.1103/PhysRevC.97.034625

  51. Huang, A.-P., Jiang, Y., Shi, S.-Z., Liao, J.-F., Zhuang, P.-F.: Phys. Lett. B 777, 177 (2018)

    Article  ADS  Google Scholar 

  52. Lin, Z.-W., Ko, C.M., Li, B.-A., Zhang, B., Pal, S.: Phys. Rev. C 72 (2005)

    Google Scholar 

  53. Huang, L., Nie, M.W., Ma, G.L.: Phys. Rev. C 101(2) (2020). https://doi.org/10.1103/PhysRevC.101.024916

  54. Xu, Z., Greiner, C.: Phys. Rev. C 71 (2005)

    Google Scholar 

  55. Uphoff, J., Senzel, F., Fochler, O., Wesp, C., Xu, Z., Greiner, C.: Phys. Rev. Lett. 114, 112301 (2015). ISSN 0031-9007, 1079-7114

    Google Scholar 

  56. Chen, Z., Greiner, C., Huang, A., Xu, Z.: arXiv:1910.13721 [hep-ph] (2019)

  57. Sun, Y., Ko, C.M., Li, F.: Phys. Rev. C 94(4) (2016)

    Google Scholar 

Download references

Acknowledgements

We thank Anping Huang, Jinfeng Liao, Ziwei Lin, Shuzhe Shi and Ziyue Wang for collaborations and discussions. The work is supported in part by the National Natural Science Foundation of China under Grant Nos. 11875002, 11890712, 11905066, 12075129 and Science and Technology Program of Guangzhou under Grant No. 2019050001.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Pengfei Zhuang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Jiang, Y., Guo, X., Zhuang, P. (2021). Quantum Kinetic Description of Spin and Rotation. In: Becattini, F., Liao, J., Lisa, M. (eds) Strongly Interacting Matter under Rotation. Lecture Notes in Physics, vol 987. Springer, Cham. https://doi.org/10.1007/978-3-030-71427-7_6

Download citation

Publish with us

Policies and ethics