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Exact Wigner function for chiral spirals

Samapan Bhadury*, Wojciech Florkowski†, Sudip Kumar Kar‡, and Valeriya Mykhaylova§

  • *Contact author: samapan.bhadury@uj.edu.pl
  • †Contact author: wojciech.florkowski@uj.edu.pl
  • ‡Contact author: sudip.kar@doctoral.uj.edu.pl
  • §Contact author: valeriya.mykhaylova@uj.edu.pl
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Phys. Rev. D 112, 016012 – Published 8 July, 2025

DOI: https://doi.org/10.1103/vmkx-t59n

Abstract

The exact solution of the Dirac equation for fermions coupled to an external periodic chiral condensate (chiral spiral) is used to obtain the exact formula for the Wigner function (up to the quantum loop corrections). We find that the resulting expressions for various coefficients of the Wigner function exhibit properties that cannot be reproduced within the standard semiclassical expansion. The formula for the axial vector component of the Wigner function can be conveniently used to study spin polarization effects and illustrate connections between the spin density matrix and axial current. In particular, we find that during an adiabatic change of the periodic potential into a uniform one, the polarization vector is twisted from its original direction.

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References (38)

  1. V. Schon and M. Thies, 2-D model field theories at finite temperature and density, in At the Frontier of Particle Physics edited by M. Shifman and B. Ioffe (World Scientific, Singapore, 2000), pp. 1945–2032.
  2. K. Fukushima and T. Hatsuda, Rep. Prog. Phys. 74, 014001 (2011).
  3. F. Dautry and E. M. Nyman, Nucl. Phys. A319, 323 (1979).
  4. H. T. Elze, M. Gyulassy, and D. Vasak, Phys. Lett. B 177, 402 (1986).
  5. H. T. Elze, M. Gyulassy, and D. Vasak, Nucl. Phys. B276, 706 (1986).
  6. D. Vasak, M. Gyulassy, and H. T. Elze, Ann. Phys. (N.Y.) 173, 462 (1987).
  7. H. T. Elze, M. Gyulassy, D. Vasak, H. Heinz, H. Stoecker, and W. Greiner, Mod. Phys. Lett. A 02, 451 (1987).
  8. B. Banerjee, N. Glendenning, and M. Gyulassy, Nucl. Phys. A361, 326 (1981).
  9. M. Kutschera, W. Broniowski, and A. Kotlorz, Nucl. Phys. A516, 566 (1990).
  10. W. Broniowski, A. Kotlorz, and M. Kutschera, Acta Phys. Pol. B 22, 145 (1991), https://www.actaphys.uj.edu.pl/index_n.php?I=R&V=22&N=1#145.
  11. M. Sadzikowski and W. Broniowski, Phys. Lett. B 488, 63 (2000).
  12. M. Sadzikowski, Phys. Lett. B 642, 238 (2006).
  13. S. Maedan, Prog. Theor. Phys. 123, 285 (2010).
  14. T. L. Partyka and M. Sadzikowski, Acta Phys. Pol. B 42, 1305 (2011).
  15. A. Heinz, F. Giacosa, and D. H. Rischke, Nucl. Phys. A933, 34 (2015).
  16. M. Buballa and S. Carignano, Prog. Part. Nucl. Phys. 81, 39 (2015).
  17. P. Adhikari, J. O. Andersen, and P. Kneschke, Phys. Rev. D 96, 016013 (2017); 98, 099902(E) (2018).
  18. P. Lakaschus, M. Buballa, and D. H. Rischke, Phys. Rev. D 103, 034030 (2021).
  19. O. Papadopoulos and A. Schmitt, Phys. Rev. D 111, 034010 (2025).
  20. Z. Wang and P. Zhuang, arXiv:2101.00586.
  21. R.-H. Fang, L.-G. Pang, Q. Wang, and X.-N. Wang, Phys. Rev. C 94, 024904 (2016).
  22. W. Florkowski, Eur. Phys. J. A 2, 77 (1998).
  23. W. Florkowski, J. Hüfner, S. Klevansky, and L. Neise, Ann. Phys. (N.Y.) 245, 445 (1996).
  24. N. Weickgenannt, X.-L. Sheng, E. Speranza, Q. Wang, and D. H. Rischke, Phys. Rev. D 100, 056018 (2019).
  25. Z.-T. Liang and X.-N. Wang, Phys. Rev. Lett. 94, 102301 (2005); 96, 039901(E) (2006).
  26. Z.-T. Liang and X.-N. Wang, Phys. Lett. B 629, 20 (2005).
  27. L. Adamczyk et al. (STAR Collaboration), Nature (London) 548, 62 (2017).
  28. J. Adam et al. (STAR Collaboration), Phys. Rev. C 98, 014910 (2018).
  29. S. Acharya et al. (ALICE Collaboration), Phys. Rev. Lett. 125, 012301 (2020).
  30. J. Adam et al. (STAR Collaboration), Phys. Rev. Lett. 123, 132301 (2019).
  31. C. Itzykson and J.-B. Zuber, Quantum Field Theory (Courier Corporation, New York, 2006).
  32. S. P. Klevansky, Rev. Mod. Phys. 64, 649 (1992).
  33. W. Florkowski, J. Hüfner, S. Klevansky, and L. Neise, Ann. Phys. (N.Y.) 245, 445 (1996).
  34. W. Florkowski, Eur. Phys. J. A 2, 77 (1998).
  35. W. Florkowski, Acta Phys. Pol. B 28, 2079 (1997), https://www.actaphys.uj.edu.pl/index_n.php?I=R&V=28&N=10#2079.
  36. W. Florkowski, A. Kumar, and R. Ryblewski, Phys. Rev. C 98, 044906 (2018).
  37. W. Florkowski, A. Kumar, and R. Ryblewski, Acta Phys. Pol. B 51, 945 (2020).
  38. W. Florkowski, B. Friman, A. Jaiswal, R. Ryblewski, and E. Speranza, Phys. Rev. D 97, 116017 (2018).

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Phys. Rev. D 112, 016012– Published 8 July, 2025
  • Received 14 April 2025
  • Accepted 9 June 2025
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