- 
								[1]
								Z. T. Liang and X. N. Wang, Phys. Rev. Lett. 94, 102301 (2005) [Erratum: Phys. Rev. Lett. 96, 039901 (2006)], arXiv: nucl-th/0410079 
- 
								[2]
								X. G. Huang, P. Huovinen, and X. N. Wang, Phys. Rev. C 84, 054910 (2011), arXiv: 10.1108.5649[nucl-th] 
- 
								[3]
								F. Becattini, F. Piccinini, and J. Rizzo, Phys. Rev. C 77, 024906 (2008), arXiv: 10.0711.1253[nucl-th] 
- 
								[4]
								W. T. Deng and X. G. Huang, Phys. Rev. C 93, 064907 (2016), arXiv: 10.1603.06117[nucl-th] 
- 
								[5]
								Y. Jiang, X. G. Huang, and J. Liao, Phys. Rev. D 92, 071501 (2015), arXiv: 10.1504.03201[hep-ph] 
- 
								[6]
								S. J. Barnett, Phys. Rev. 6, 239 (1915) 
- 
								[7]
								S. J. Barnett, Rev. Mod. Phys. 7, 129 (1935) 
- 
								[8]
								Y. Liu and I. Zahed, Phys. Rev. Lett. 120, 032001 (2018), arXiv: 10.1711.08354[hep-ph] 
- 
								[9]
								G. Cao and L. He, Phys. Rev. D 100, 094015 (2019), arXiv: 10.1910.02728[nucl-th] 
- 
								[10]
								H. L. Chen, X. G. Huang, and K. Mameda, JHEP 02, 216 (2024), arXiv: 10.1910.02700[nucl-th] 
- 
								[11]
								H. Zhang, D. Hou, and J. Liao, Chin. Phys. C 44, 111001 (2020), arXiv: 10.1812.11787[hep-ph] 
- 
								[12]
								G. Cao, Eur. Phys. J. C 81, 148 (2021), arXiv: 10.2008.08321[nucl-th] 
- 
								[13]
								H. L. Chen, K. Fukushima, X. G. Huang et al., Phys. Rev. D 93, 104052 (2016), arXiv: 10.1512.08974[hep-ph] 
- 
								[14]
								Y. Jiang and J. Liao, Phys. Rev. Lett. 117, 192302 (2016), arXiv: 10.1606.03808[hep-ph] 
- 
								[15]
								S. Ebihara, K. Fukushima, and K. Mameda, Phys. Lett. B 764, 94 (2017), arXiv: 10.1608.00336[hep-ph] 
- 
								[16]
								M. N. Chernodub and S. Gongyo, JHEP 01, 136 (2017), arXiv: 10.1611.02598[hep-th] 
- 
								[17]
								M. N. Chernodub and S. Gongyo, Phys. Rev. D 95, 096006 (2017), arXiv: 10.1702.08266[hep-th] 
- 
								[18]
								X. Wang, M. Wei, Z. Li, and M. Huanget al., Phys. Rev. D 99, 016018 (2019), arXiv: 10.1808.01931[hep-ph] 
- 
								[19]
								F. Sun and A. Huang, Phys. Rev. D 106, 076007 (2022), arXiv: 10.2104.14382[hep-ph] 
- 
								[20]
								K. Xu, F. Lin, A. Huang et al., Phys. Rev. D 106, L071502 (2022), arXiv: 10.2205.02420[hep-ph] 
- 
								[21]
								F. Sun, K. Xu, and M. Huang, Phys. Rev. D 108, 096007 (2023), arXiv: 10.2307.14402[hep-ph] 
- 
								[22]
								X. Chen, L. Zhang, D. Li et al., JHEP 07, 132 (2021), arXiv: 10.2010.14478[hep-ph] 
- 
								[23]
								Y. Fujimoto, K. Fukushima, and Y. Hidaka, Phys. Lett. B 816, 136184 (2021), arXiv: 10.2101.09173[hep-ph] 
- 
								[24]
								Y. Chen, X. Chen, D. Li et al., (2024), arXiv: 2405.06386[hep-ph] 
- 
								[25]
								L. Adamczyk et al. (STAR), Nature 548, 62 (2017), arXiv: 1701.06657[nucl-ex] 
- 
								[26]
								S. Acharya et al. (ALICE), Phys. Rev. Lett. 125, 012301 (2020), arXiv: 1910.14408[nucl-ex] 
- 
								[27]
								M. S. Abdallah et al. (STAR), Nature 614, 244 (2023), arXiv: 2204.02302[hep-ph] 
- 
								[28]
								V. V. Braguta, A. Kotov, A. Roenko et al., PoS LATTICE2022, 190 (2023), arXiv: 2212.03224[hep-lat] 
- 
								[29]
								M. N. Chernodub, V. A. Goy, and A. V. Molochkov, Phys. Rev. D 107, 114502 (2023), arXiv: 10.2209.15534[hep-lat] 
- 
								[30]
								V. V. Braguta, M. N. Chernodub, A. A. Roenko et al., (2023), arXiv: 2303.03147[hep-lat] 
- 
								[31]
								V. V. Braguta, I. E. Kudrov, A. A. Roenko et al., JETP Lett. 117, 639 (2023) 
- 
								[32]
								J. C. Yang and X. G. Huang, (2023), arXiv: 2307.05755 [heplat] 
- 
								[33]
								L. P. Csernai, V. K. Magas, and D. J. Wang, Phys. Rev. C 87, 034906 (2013), arXiv: 10.1302.5310[nucl-th] 
- 
								[34]
								F. Becattini, L. Csernai, and D. J. Wang, Phys. Rev. C 88, 034905 (2013) [Erratum: Phys. Rev. C 93, 069901 (2016)], arXiv: 1304.4427[nucl-th] 
- 
								[35]
								L. P. Csernai, S. Velle, and D. J. Wang, Phys. Rev. C 89, 034916 (2014), arXiv: 10.1305.0396[nucl-th] 
- 
								[36]
								L. P. Csernai, D. J. Wang, M. Bleicher et al., Phys. Rev. C 90, 021904 (2014) 
- 
								[37]
								L. P. Csernai, D. J. Wang, and T. Csorgo, Phys. Rev. C 90, 024901 (2014), arXiv: 10.1406.1017[hep-ph] 
- 
								[38]
								F. Becattini, G. Inghirami, V. Rolando et al., Eur. Phys. J. C 75, 406 (2015) [Erratum: Eur. Phys. J. C 78, 354 (2018)], arXiv: 1501.04468[nucl-th] 
- 
								[39]
								Y. Xie, R. C. Glastad, and L. P. Csernai, Phys. Rev. C 92, 064901 (2015), arXiv: 10.1505.07221[nucl-th] 
- 
								[40]
								Y. L. Xie, M. Bleicher, H. Stöcker et al., Phys. Rev. C 94, 054907 (2016), arXiv: 10.1610.08678[nucl-th] 
- 
								[41]
								I. Karpenko and F. Becattini, Eur. Phys. J. C 77, 213 (2017), arXiv: 10.1610.04717[nucl-th] 
- 
								[42]
								Y. Xie, D. Wang, and L. P. Csernai, Phys. Rev. C 95, 031901 (2017), arXiv: 10.1703.03770[nucl-th] 
- 
								[43]
								Y. Xie, G. Chen, and L. P. Csernai, Eur. Phys. J. C 81, 12 (2021), arXiv: 10.1912.00209[hep-ph] 
- 
								[44]
								Y. B. Ivanov, V. D. Toneev, and A. A. Soldatov, Phys. Rev. C 100, 014908 (2019), arXiv: 10.1903.05455[nucl-th] 
- 
								[45]
								Y. B. Ivanov and A. A. Soldatov, Phys. Rev. C 102, 024916 (2020), arXiv: 10.2004.05166[nucl-th] 
- 
								[46]
								F. Becattini, M. Buzzegoli, G. Inghirami et al., Phys. Rev. Lett. 127, 272302 (2021), arXiv: 10.2103.14621[nucl-th] 
- 
								[47]
								S. Wu and Y. Xie, Eur. Phys. J. A 59, 108 (2023), arXiv: 10.2303.07680[nucl-th] 
- 
								[48]
								Y. Jiang, Z. W. Lin, and J. Liao, Phys. Rev. C 94, 044910 (2016) [Erratum: Phys. Rev. C 95, 049904 (2017)], arXiv: 1602.06580[hep-ph] 
- 
								[49]
								L. G. Pang, H. Petersen, Q. Wang et al., Phys. Rev. Lett. 117, 192301 (2016), arXiv: 10.1605.04024[hep-ph] 
- 
								[50]
								H. Li, L. G. Pang, Q. Wang et al., Phys. Rev. C 96, 054908 (2017), arXiv: 10.1704.01507[nucl-th] 
- 
								[51]
								S. Shi, K. Li, and J. Liao, Phys. Lett. B 788, 409 (2019), arXiv: 10.1712.00878[nucl-th] 
- 
								[52]
								I. Karpenko and F. Becattini, Nucl. Phys. A 967, 764 (2017), arXiv: 10.1704.02142[nucl-th] 
- 
								[53]
								X. L. Xia, H. Li, Z. B. Tang et al., Phys. Rev. C 98, 024905 (2018), arXiv: 10.1803.00867[nucl-th] 
- 
								[54]
								D. X. Wei, W. T. Deng, and X. G. Huang, Phys. Rev. C 99, 014905 (2019), arXiv: 10.1810.00151[nucl-th] 
- 
								[55]
								O. Vitiuk, L. V. Bravina, and E. E. Zabrodin, Phys. Lett. B 803, 135298 (2020), arXiv: 10.1910.06292[hep-ph] 
- 
								[56]
								Y. Guo, S. Shi, S. Feng et al., Phys. Lett. B 798, 134929 (2019), arXiv: 10.1905.12613[nucl-th] 
- 
								[57]
								R. Campanini and G. Ferri, Phys. Lett. B 703, 237 (2011), arXiv: 10.1106.2008[hep-ph] 
- 
								[58]
								F. G. Gardim, G. Giacalone, M. Luzum et al., Nature Phys. 16, (2020), arXiv: 10.1908.09728[nucl-th] 
- 
								[59]
								F. G. Gardim, G. Giacalone, and J. Y. Ollitrault, Phys. Lett. B 809, 135749 (2020), arXiv: 10.1909.11609[nucl-th] 
- 
								[60]
								A. Sorensen, D. Oliinychenko, V. Koch et al., Phys. Rev. Lett. 127, 042303 (2021), arXiv: 10.2103.07365[nuclth] 
- 
								[61]
								A. Hayrapetyan et al. (CMS), (2024), arXiv: 2401.06896[nucl-ex] 
- 
								[62]
								P. Parotto, M. Bluhm, D. Mroczek et al., Phys. Rev. C 101, 034901 (2020), arXiv: 10.1805.05249[hep-ph] 
- 
								[63]
								A. Monnai, B. Schenke, and C. Shen, Int. J. Mod. Phys. A 36, 2130007 (2021), arXiv: 10.2101.11591[nucl-th] 
- 
								[64]
								Q. Chen, R. Wen, S. Yin et al., (2024), arXiv: 2402.12823 [nucl-th] 
- 
								[65]
								Y. f. Shen, W. Chen, X. y. Wu et al., (2024), arXiv: 2404.02397 [hep-ph] 
- 
								[66]
								P. O. Bowman, U. M. Heller, D. B. Leinweber et al., Phys. Rev. D 70, 034509 (2004), arXiv: 10. hep-lat/0402032 
- 
								[67]
								A. Sternbeck, E. M. Ilgenfritz, M. Muller-Preussker et al., PoS LAT2006, 076 (2006), arXiv: hep-lat/0610053 
- 
								[68]
								W. j. Fu, J. M. Pawlowski, and F. Rennecke, Phys. Rev. D 101, 054032 (2020), arXiv: 10.1909.02991[hep-ph] 
- 
								[69]
								J. Braun, L. Fister, J. M. Pawlowski et al., Phys. Rev. D 94, 034016 (2016), arXiv: 10.1412.1045[hep-ph] 
- 
								[70]
								M. Mitter, J. M. Pawlowski, and N. Strodthoff, Phys. Rev. D 91, 054035 (2015), arXiv: 10.1411.7978[hep-ph] 
- 
								[71]
								A. K. Cyrol, M. Mitter, J. M. Pawlowski et al., Phys. Rev. D 97, 054006 (2018), arXiv: 10.1706.06326[hep-ph] 
- 
								[72]
								Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) 
- 
								[73]
								Y. Nambu and G. Jona-Lasinio, Phys. Rev. 124, 246 (1961) 
- 
								[74]
								S. P. Klevansky, Rev. Mod. Phys. 64, 649 (1992) 
- 
								[75]
								T. Hatsuda and T. Kunihiro, Phys. Rept. 247, 221 (1994), arXiv: 10. hep-ph/9401310 
- 
								[76]
								M. Buballa, Phys. Rept. 407, 205 (2005), arXiv: hepph/0402234 
- 
								[77]
								B.-J. Schaefer and J. Wambach, Nucl. Phys. A 757, 479 (2005), arXiv: 10. nucl-th/0403039 
- 
								[78]
								B. J. Schaefer, J. M. Pawlowski, and J. Wambach, Phys. Rev. D 76, 074023 (2007), arXiv: 10.0704.3234[hep-ph] 
- 
								[79]
								R. Wen, C. Huang, and W. J. Fu, Phys. Rev. D 99, 094019 (2019), arXiv: 10.1809.04233[hep-ph] 
- 
								[80]
								A. Yamamoto and Y. Hirono, Phys. Rev. Lett. 111, 081601 (2013), arXiv: 10.1303.6292[hep-lat] 
- 
								[81]
								H. L. Chen, Z. B. Zhu, and X. G. Huang, Phys. Rev. D 108, 054006 (2023), arXiv: 10.2306.08362[hep-ph] 
- 
								[82]
								A. L. Fetter, Rev. Mod. Phys. 81, 647 (2009) 
- 
								[83]
								J. I. Kapusta and C. Gale, Finite-Temperature Field Theory: Principles and Applications, 2nd ed., Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2006) 
- 
								[84]
								L. Landau and E. Lifshitz, Course of Theoretical Physics. Vol. 5: Statistical Physics, Part 1 (Butterworth-Heinemann, Oxword U.K., 1980) 
- 
								[85]
								Y. Q. Zhao, S. He, D. Hou et al., JHEP 04, 115 (2023), arXiv: 10.2212.14662[hep-ph] 
- 
								[86]
								H. Kohyama, D. Kimura, and T. Inagaki, Nucl. Phys. B 906, 524 (2016), arXiv: 10.1601.02411[hep-ph] 
- 
								[87]
								A. Bhattacharyya, P. Deb, S. K. Ghosh et al., Phys. Rev. D 87, 054009 (2013), arXiv: 10.1212.5893[hep-ph] 
- 
								[88]
								B. Klein, Physics Reports 707-708, 1 (2017), modeling FiniteVolume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics 
- 
								[89]
								J. H. Wang and S. Q. Feng, Phys. Rev. D 109, 066019 (2024), arXiv: 10.2403.01814[hep-ph] 
- 
								[90]
								J. Braun, B. Klein, and H. J. Pirner, Phys. Rev. D 72, 034017 (2005) 
- 
								[91]
								J. Braun, B. Klein, H. J. Pirner et al., Phys. Rev. D 73, 074010 (2006) 
- 
								[92]
								O. Kiriyama, T. Kodama, and T. Koide, (2006) 
- 
								[93]
								G. y. Shao, L. Chang, Y. x. Liu et al., Phys. Rev. D 73, 076003 (2006) 
- 
								[94]
								L. F. Palhares, E. S. Fraga, and T. Kodama, J. Phys. G 38, 085101 (2011) 
- 
								[95]
								J. Braun, B. Klein, and B. J. Schaefer, Phys. Lett. B 713, 216 (2012) 
- 
								[96]
								G. Almasi, R. Pisarski, and V. Skokov, Phys. Rev. D 95, 056015 (2017) 
- 
								[97]
								B. Klein, Phys. Rept. 707-708, 1 (2017) 
- 
								[98]
								Q. W. Wang, Y. Xia, C. Shi et al., (2018) 
- 
								[99]
								B. L. Li, Z. F. Cui, B. W. Zhou et al., Nucl. Phys. B 938, 298 (2019) 
- 
								[100]
								K. Xu and M. Huang, Phys. Rev. D 101, 074001 (2020) 
- 
								[101]
								Y. P. Zhao, P. L. Yin, Z. H. Yu et al., Nucl. Phys. B 952, 114919 (2020) 
- 
								[102]
								E. B. S. Corrêa and M. S. R. Sarges, Nucl. Phys. A 1040, 122749 (2023) 
- 
								[103]
								Y. Chen, D. Li, and M. Huang, Phys. Rev. D 106, 106002 (2022), arXiv: 10.2208.05668[hep-ph] 
- 
								[104]
								V. V. Braguta, A. Y. Kotov, D. D. Kuznedelev et al., Phys. Rev. D 103, 094515 (2021), arXiv: 10.2102.05084[hep-lat] 
- 
								[105]
								M. Asakawa and K. Yazaki, Nucl. Phys. A 504, 668 (1989) 
- 
								[106]
								S. Klimt, M. F. M. Lutz, and W. Weise, Phys. Lett. B 249, 386 (1990) 
- 
								[107]
								M. Buballa, Nucl. Phys. A 611, 393 (1996), arXiv: 10. nuclth/9609044 
- 
								[108]
								P. N. Meisinger and M. C. Ogilvie, Phys. Lett. B 379, 163 (1996), arXiv: 10. hep-lat/9512011 
- 
								[109]
								P. N. Meisinger, T. R. Miller, and M. C. Ogilvie, Phys. Rev. D 65, 034009 (2002), arXiv: 10. hep-ph/0108009 
- 
								[110]
								K. Fukushima, Phys. Lett. B 591, 277 (2004), arXiv: 10. hepph/0310121 
- 
								[111]
								A. Mocsy, F. Sannino, and K. Tuominen, Phys. Rev. Lett. 92, 182302 (2004), arXiv: 10. hep-ph/0308135 
- 
								[112]
								E. Megias, E. Ruiz Arriola, and L. L. Salcedo, Phys. Rev. D 74, 065005 (2006), arXiv: 10. hep-ph/0412308 
- 
								[113]
								C. Ratti, M. A. Thaler, and W. Weise, Phys. Rev. D 73, 014019 (2006), arXiv: 10. hep-ph/0506234 
- 
								[114]
								K. Fukushima, Phys. Rev. D 77, 114028 (2008) [Erratum: Phys. Rev. D 78, 039902 (2008)], arXiv: 0803.3318[hep-ph] 
- 
								[115]
								F. Sun, J. Shao, R. Wen et al., Phys. Rev. D 109, 116017 (2024), arXiv: 10.2402.16595[hep-ph]