- Open Access
Effect of the charm quark on the QCD chiral phase diagram
Phys. Rev. D 114, 014016 – Published 6 July, 2026
DOI: https://doi.org/10.1103/8r63-rztg
Abstract
We study the influence of charm-quark dynamics on the chiral phase structure of QCD using the recently developed miniDSE scheme for the Dyson-Schwinger equations. By comparing the quark and gluon propagators in the - and -flavor setups within the same truncation scheme, we qualify the impact of the charm-quark loop on the QCD phase diagram. Our results show that the charm quark has only a mild effect on the crossover boundary, which remains almost unchanged within the present setup. The most visible effect is a small shift of the critical endpoint (CEP) toward lower baryon chemical potential, by approximately 3%. The present result provides a controlled estimate of the charm-loop effect within the same miniDSE truncation. It indicates that heavy-flavor contributions may become relevant when aiming at precision studies of the CEP location.
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References (49)
- M. M. Aggarwal et al. (STAR Collaboration), arXiv:1007.2613.
- B. Mohanty (STAR Collaboration), J. Phys. G 38, 124023 (2011).
- X. Luo and N. Xu, Nucl. Sci. Tech. 28, 112 (2017).
- T. Nonaka, J. Phys. Soc. Jpn. Conf. Proc. 26, 024007 (2019).
- J. Chen et al., Nucl. Sci. Tech. 35, 214 (2024).
- M. Buballa, Phys. Rep. 407, 205 (2005).
- K. Fukushima and C. Sasaki, Prog. Part. Nucl. Phys. 72, 99 (2013).
- M. Oertel, M. Hempel, T. Klähn, and S. Typel, Rev. Mod. Phys. 89, 015007 (2017).
- N. Aghanim et al. (Planck Collaboration), Astron. Astrophys. 641, A6 (2020); 652, C4(E) (2021).
- F. Gao and I. M. Oldengott, Phys. Rev. Lett. 128, 131301 (2022).
- H.-w. Zheng, F. Gao, L. Bian, S.-x. Qin, and Y.-x. Liu, Phys. Rev. D 111, L021303 (2025).
- F. Gao, J. Harz, C. Hati, Y. Lu, I. M. Oldengott, and G. White, J. High Energy Phys. 06 (2025) 247.
- G. Y. Shao, M. Di Toro, V. Greco, M. Colonna, S. Plumari, B. Liu, and Y. X. Liu, Phys. Rev. D 84, 034028 (2011).
- X. Y. Xin, S. X. Qin, and Y. X. Liu, Phys. Rev. D 90, 076006 (2014).
- S. He, S.-Y. Wu, Y. Yang, and P.-H. Yuan, J. High Energy Phys. 04 (2013) 093.
- K. Chelabi, Z. Fang, M. Huang, D. Li, and Y.-L. Wu, J. High Energy Phys. 04 (2016) 036.
- T. Kojo, D. Hou, J. Okafor, and H. Togashi, Phys. Rev. D 104, 063036 (2021).
- X. Chen, L. Zhang, D. Li, D. Hou, and M. Huang, J. High Energy Phys. 07 (2021) 132.
- M. Hippert, J. Grefa, T. A. Manning, J. Noronha, J. Noronha-Hostler, I. Portillo Vazquez, C. Ratti, R. Rougemont, and M. Trujillo, Phys. Rev. D 110, 094006 (2024).
- R. G. Cai, S. He, L. Li, and Y. X. Wang, Phys. Rev. D 106, L121902 (2022).
- X. Chen, D. Li, and M. Huang, Chin. Phys. C 43, 023105 (2019).
- G. Basar, Phys. Rev. C 110, 015203 (2024).
- A. Adam, S. Borsányi, Z. Fodor, J. N. Guenther, P. Parotto, A. Pásztor, D. Pesznyák, L. Pirelli, and C. H. Wong, Proc. Sci., LATTICE2024 (2025) 178 [arXiv:2502.03211].
- C. Ecker, N. Jokela, and M. Järvinen, Phys. Rev. D 113, L041302 (2026).
- S. Borsanyi, Z. Fodor, J. N. Guenther, R. Kara, S. D. Katz, P. Parotto, A. Pasztor, C. Ratti, and K. K. Szabo, Phys. Rev. Lett. 125, 052001 (2020).
- A. Bazavov et al. (HotQCD Collaboration), Phys. Lett. B 795, 15 (2019).
- C. Bonati, M. D’Elia, F. Negro, F. Sanfilippo, and K. Zambello, Phys. Rev. D 98, 054510 (2018).
- S. X. Qin, L. Chang, H. Chen, Y. X. Liu, and C. D. Roberts, Phys. Rev. Lett. 106, 172301 (2011).
- C. S. Fischer, J. Luecker, and C. A. Welzbacher, Phys. Rev. D 90, 034022 (2014).
- F. Gao and Y. X. Liu, Phys. Rev. D 94, 076009 (2016).
- C. S. Fischer, Prog. Part. Nucl. Phys. 105, 1 (2019).
- F. Gao and J. M. Pawlowski, Phys. Rev. D 102, 034027 (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).
- W. J. Fu, J. M. Pawlowski, and F. Rennecke, Phys. Rev. D 101, 054032 (2020).
- N. Dupuis, L. Canet, A. Eichhorn, W. Metzner, J. M. Pawlowski, M. Tissier, and N. Wschebor, Phys. Rep. 910, 1 (2021).
- W. J. Fu, Commun. Theor. Phys. 74, 097304 (2022).
- B. E. Aboona et al. (STAR Collaboration), Phys. Rev. Lett. 135, 142301 (2025).
- H. van Hees, V. Greco, and R. Rapp, Phys. Rev. C 73, 034913 (2006).
- K. Goswami, K. K. Pradhan, D. Sahu, J. Dey, and R. Sahoo, Phys. Rev. D 111, 014029 (2025).
- C. A. Welzbacher, C. S. Fischer, and J. Luecker, J. Phys. Conf. Ser. 599, 012015 (2015).
- Y. Lu, F. Gao, Y.-X. Liu, and J. M. Pawlowski, Phys. Rev. D 110, 014036 (2024).
- C. Tang, F. Gao, and Y.-X. Liu, Phys. Rev. D 100, 056001 (2019).
- F. Gao, J. Papavassiliou, and J. M. Pawlowski, Phys. Rev. D 103, 094013 (2021).
- A. C. Aguilar, C. O. Ambrósio, F. De Soto, M. N. Ferreira, B. M. Oliveira, J. Papavassiliou, and J. Rodríguez-Quintero, Phys. Rev. D 104, 054028 (2021).
- Y. Lu, F. Gao, Y.-x. Liu, and J. M. Pawlowski, Phys. Rev. D 113, 054019 (2026).
- N. Brown and M. R. Pennington, Phys. Rev. D 38, 2266 (1988).
- C. S. Fischer and J. Luecker, Phys. Lett. B 718, 1036 (2013).
- M. D. Schwartz, Quantum Field Theory and the Standard Model (Cambridge University Press, Cambridge, England, 2014).