- Open Access
Fluctuations and Correlations of Quark Spin in Hot and Dense QCD Matter
Phys. Rev. Lett. 135, 032302 – Published 17 July, 2025
DOI: https://doi.org/10.1103/g1bh-85h4
Abstract
In this Letter, we examine the impact of QCD phase transitions on the quark spin fluctuations and correlations. We propose the quark-antiquark correlation, which relates to the vector meson spin alignment and the correlation, and can be used as a novel probe of the critical end point (CEP) in the QCD phase diagram. Using the Nambu-Jona-Lanisio model, we qualitatively study the properties of quark-antiquark spin correlations. Our findings reveal a peak structure near the CEP of the chiral phase transition, which may serve as an experimental signature of the CEP and account for the non-monotonic behavior of meson alignment at low collision energies observed recently in experiments.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (85)
- B. Betz, M. Gyulassy, and G. Torrieri, Phys. Rev. C 76, 044901 (2007).
- Y. Jiang, Z.-W. Lin, and J. Liao, Phys. Rev. C 94, 044910 (2016); 95, 049904(E) (2017).
- W.-T. Deng and X.-G. Huang, Phys. Rev. C 93, 064907 (2016).
- X.-G. Deng, X.-G. Huang, Y.-G. Ma, and S. Zhang, Phys. Rev. C 101, 064908 (2020).
- L. Adamczyk et al. (STAR Collaboration), Nature (London) 548, 62 (2017).
- M. S. Abdallah et al. (STAR Collaboration), Nature (London) 614, 244 (2023).
- Z.-T. Liang and X.-N. Wang, Phys. Rev. Lett. 94, 102301 (2005); 96, 039901(E) (2006).
- F. Becattini, V. Chandra, L. Del Zanna, and E. Grossi, Ann. Phys. (Amsterdam) 338, 32 (2013).
- R. H. Fang, L. G. Pang, Q. Wang, and X. N. Wang, Phys. Rev. C 94, 024904 (2016).
- I. Karpenko and F. Becattini, Eur. Phys. J. C 77, 213 (2017).
- F. Becattini, I. Karpenko, M. A. Lisa, I. Upsal, and S. A. Voloshin, Phys. Rev. C 95, 054902 (2017).
- Y. Xie, D. Wang, and L. P. Csernai, Phys. Rev. C 95, 031901(R) (2017).
- H. Li, L.-G. Pang, Q. Wang, and X.-L. Xia, Phys. Rev. C 96, 054908 (2017).
- S. Shi, K. Li, and J. Liao, Phys. Lett. B 788, 409 (2019).
- Y. Sun and C. M. Ko, Phys. Rev. C 99, 011903(R) (2019).
- X.-L. Xia, H. Li, Z.-B. Tang, and Q. Wang, Phys. Rev. C 98, 024905 (2018).
- D.-X. Wei, W.-T. Deng, and X.-G. Huang, Phys. Rev. C 99, 014905 (2019).
- O. Vitiuk, L. V. Bravina, and E. E. Zabrodin, Phys. Lett. B 803, 135298 (2020).
- H. Li, X.-L. Xia, X.-G. Huang, and H. Z. Huang, Phys. Lett. B 827, 136971 (2022).
- X.-G. Deng, X.-G. Huang, and Y.-G. Ma, Phys. Lett. B 835, 137560 (2022).
- Y. Guo, J. Liao, E. Wang, H. Xing, and H. Zhang, Phys. Rev. C 104, L041902 (2021).
- S. Alzhrani, S. Ryu, and C. Shen, Phys. Rev. C 106, 014905 (2022).
- X.-Y. Wu, C. Yi, G.-Y. Qin, and S. Pu, Phys. Rev. C 105, 064909 (2022).
- Z.-T. Liang, M. A. Lisa, and X.-N. Wang, Nucl. Phys. News 30, 10 (2020).
- J.-H. Gao, Z.-T. Liang, Q. Wang, and X.-N. Wang, Lect. Notes Phys. 987, 195 (2021).
- X.-G. Huang, J. Liao, Q. Wang, and X.-L. Xia, Lect. Notes Phys. 987, 281 (2021).
- Y.-C. Liu and X.-G. Huang, Nucl. Sci. Tech. 31, 56 (2020).
- F. Becattini, Rep. Prog. Phys. 85, 122301 (2022).
- F. Becattini, M. Buzzegoli, T. Niida, S. Pu, A.-H. Tang, and Q. Wang, Int. J. Mod. Phys. E 33, 2430006 (2024).
- T. Niida and S. A. Voloshin, Int. J. Mod. Phys. E 33, 2430010 (2024).
- J.-H. Chen, Z.-T. Liang, Y.-G. Ma, X.-L. Sheng, and Q. Wang, Sci. China Phys. Mech. Astron. 68, 211001 (2025).
- Z.-T. Liang and X.-N. Wang, Phys. Lett. B 629, 20 (2005).
- Y.-G. Yang, R.-H. Fang, Q. Wang, and X.-N. Wang, Phys. Rev. C 97, 034917 (2018).
- X.-L. Sheng, Q. Wang, and X.-N. Wang, Phys. Rev. D 102, 056013 (2020).
- X.-L. Xia, H. Li, X.-G. Huang, and H. Zhong Huang, Phys. Lett. B 817, 136325 (2021).
- J.-H. Gao, Phys. Rev. D 104, 076016 (2021).
- B. Müller and D.-L. Yang, Phys. Rev. D 105, L011901 (2022); 106, 039904(E) (2022).
- F. Li and S. Y. F. Liu, arXiv:2206.11890.
- D. Wagner, N. Weickgenannt, and E. Speranza, Phys. Rev. Res. 5, 013187 (2023).
- A. Kumar, B. Müller, and D.-L. Yang, Phys. Rev. D 108, 016020 (2023).
- H. Li, X.-L. Xia, X.-G. Huang, and H. Z. Huang, Phys. Rev. C 108, 044902 (2023).
- S. Fang, S. Pu, and D.-L. Yang, Phys. Rev. D 109, 034034 (2024).
- Y.-L. Yin, W.-B. Dong, J.-Y. Pang, S. Pu, and Q. Wang, Phys. Rev. C 110, 024905 (2024).
- X.-L. Sheng, Y.-Q. Zhao, S.-W. Li, F. Becattini, and D. Hou, Phys. Rev. D 110, 056047 (2024).
- J.-P. Lv, Z.-H. Yu, Z.-T. Liang, Q. Wang, and X.-N. Wang, Phys. Rev. D 109, 114003 (2024).
- E. Grossi, A. Palermo, and I. Zahed, Phys. Rev. C 111, 014914 (2025).
- J. Chen et al., Nucl. Sci. Tech. 35, 214 (2024).
- X.-L. Sheng, L. Oliva, and Q. Wang, Phys. Rev. D 101, 096005 (2020); 105, 099903(E) (2022).
- X.-L. Sheng, L. Oliva, Z.-T. Liang, Q. Wang, and X.-N. Wang, Phys. Rev. Lett. 131, 042304 (2023).
- J. Chen, Z.-T. Liang, Y.-G. Ma, and Q. Wang, Sci. Bull. 68, 874 (2023).
- X. Luo and N. Xu, Nucl. Sci. Tech. 28, 112 (2017).
- M. Arslandok et al., arXiv:2303.17254.
- W.-J. Fu, J. M. Pawlowski, and F. Rennecke, Phys. Rev. D 101, 054032 (2020).
- F. Gao and J. M. Pawlowski, Phys. Lett. B 820, 136584 (2021).
- P. J. Gunkel and C. S. Fischer, Phys. Rev. D 104, 054022 (2021).
- D. A. Clarke, P. Dimopoulos, F. Di Renzo, J. Goswami, C. Schmidt, S. Singh, and K. Zambello (2024).
- H.-T. Ding, F. Karsch, and S. Mukherjee, Int. J. Mod. Phys. E 24, 1530007 (2015).
- M. A. Stephanov, Phys. Rev. Lett. 107, 052301 (2011).
- M. Abdallah et al. (STAR Collaboration), Phys. Rev. C 104, 024902 (2021).
- L.-G. Pang, H. Petersen, Q. Wang, and X.-N. Wang, Phys. Rev. Lett. 117, 192301 (2016).
- F. Du, L. E. Finch, and J. Sandweiss, Phys. Rev. C 78, 044908 (2008).
- F. Sun, J. Shao, R. Wen, K. Xu, and M. Huang, Phys. Rev. D 109, 116017 (2024).
- K. Xu, F. Lin, A. Huang, and M. Huang, Phys. Rev. D 106, L071502 (2022).
- S. K. Singh and J.-E. Alam, Eur. Phys. J. C 83, 585 (2023).
- Y. Jiang and J. Liao, Phys. Rev. Lett. 117, 192302 (2016).
- H.-L. Chen, K. Fukushima, X.-G. Huang, and K. Mameda, Phys. Rev. D 93, 104052 (2016).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/g1bh-85h4 for additional formula derivations, model details, and extended results on spin correlations.
- M. Buballa, Phys. Rep. 407, 205 (2005).
- R. Bellwied, S. Borsanyi, Z. Fodor, J. Günther, S. D. Katz, C. Ratti, and K. K. Szabo, Phys. Lett. B 751, 559 (2015).
- A. Bazavov et al. (HotQCD Collaboration), Phys. Lett. B 795, 15 (2019).
- W.-J. Fu, Commun. Theor. Phys. 74, 097304 (2022).
- L. Adamczyk et al. (STAR Collaboration), Phys. Rev. C 96, 044904 (2017).
- A. Andronic, P. Braun-Munzinger, K. Redlich, and J. Stachel, Nature (London) 561, 321 (2018).
- W.-J. Fu, X. Luo, J. M. Pawlowski, F. Rennecke, R. Wen, and S. Yin, Phys. Rev. D 104, 094047 (2021).
- V. V. Begun, V. Vovchenko, and M. I. Gorenstein, J. Phys. Conf. Ser. 779, 012080 (2017).
- X. Wang, M. Wei, Z. Li, and M. Huang, Phys. Rev. D 99, 016018 (2019).
- H.-L. Chen, Z.-B. Zhu, and X.-G. Huang, Phys. Rev. D 108, 054006 (2023).
- G. Wilks, Talk at Strangeness in Quark Matter 2024, Strasbourg, France (Springer, Heidelberg, 2024).
- H.-L. Chen, X.-G. Huang, and J. Liao, Lect. Notes Phys. 987, 349 (2021).
- V. V. Braguta, A. Y. Kotov, D. D. Kuznedelev, and A. A. Roenko, Phys. Rev. D 103, 094515 (2021).
- J.-C. Yang and X.-G. Huang, arXiv:2307.05755.
- D. Shen, J. Chen, and Z.-W. Lin, Chin. Phys. C 45, 054002 (2021).
- F. Becattini, W. Florkowski, and E. Speranza, Phys. Lett. B 789, 419 (2019).
- B. Sahoo, C. R. Singh, D. Sahu, R. Sahoo, and J.-E. Alam, Eur. Phys. J. C 83, 873 (2023).
- X.-G. Huang, P. Huovinen, and X.-N. Wang, Phys. Rev. C 84, 054910 (2011).