\begin{document}$ U_A(1) $\end{document} symmetries in the quark-meson model. Although quarks and mesons are described in mean field approximation, the topological susceptibility characterizing the \begin{document}$ U_A(1) $\end{document} breaking comprises two components: one controlled by the condensate and the other by the meson fluctuation. The \begin{document}$ U_A(1) $\end{document} restoration is governed by the competition of these components. In a hot medium, the condensates melt. However, the fluctuation is enhanced. Therefore, the \begin{document}$ U_A(1) $\end{document} symmetry cannot be solely restored via the temperature effect. Nevertheless, the baryon density reduces the condensates and fluctuation, and thereby, the \begin{document}$ U_A(1) $\end{document} symmetry can only be restored in a dense or dense and hot medium. The strange condensate plays a weak role in the susceptibility, and the chiral and \begin{document}$ U_A(1) $\end{document} symmetry restorations occur almost at the same critical point."> <inline-formula><tex-math id="M1">\begin{document}${\boldsymbol{ U_A(1) }}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/37c05970-775b-490d-bbbd-246afbffbff0/CPC-2023-0112_M1.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/37c05970-775b-490d-bbbd-246afbffbff0/CPC-2023-0112_M1.png"/></alternatives></inline-formula> symmetry restoration at high baryon density -
  • [1]

    T. P. Cheng and L. F. Li,Gauge theory of elementary particle physics: Problems and solutions(2000)

  • [2]

    G. ’t Hooft, Phys. Rev. Lett.37, 8-11 (1976)

  • [3]

    G. ’t Hooft,Phys. Rev. D14, 3432 (1976), [Erratum:Phys. Rev. D 18, 2199 (2010)]

  • [4]

    H. Leutwyler and A. V. Smilga, Phys. Rev. D46, 5607-5632 (1992)

  • [5]

    R. D. Pisarski and F. Wilczek, Phys. Rev. D29, 338-341 (1984)

  • [6]

    T. Schäfer, Phys. Lett. B389, 445-451 (1996)

  • [7]

    Y. Aoki, G. Endrodi, Z. Fodoret al., Nature443, 675-678 (2006)

  • [8]

    G. Cossu, S. Aoki, H. Fukayaet al.,Phys. Rev. D87, 114514 (2013), [Erratum:Phys. Rev. D 88, 019901 (2013)]

  • [9]

    H. T. Ding, S. T. Li, S. Mukherjeeet al., Phys. Rev. Lett.126(8), 082001 (2021)

  • [10]

    O. Kaczmarek, L. Mazur, and S. Sharma, Phys. Rev. D104(9), 094518 (2021)

  • [11]

    S. Dentinger, O. Kaczmarek, and A. Lahiri, Acta Phys. Polon. Supp.14, 321 (2021)

  • [12]

    K. Fukushima, K. Ohnishi, and K. Ohta, Phys. Rev. C63, 045203 (2001)

  • [13]

    K. Fukushima, K. Ohnishi, and K. Ohta, Phys. Lett. B514, 200-203 (2001)

  • [14]

    P. Costa, M. C. Ruivo, and Y. L. Kalinovsky, Phys. Lett. B560, 171-177 (2003)

  • [15]

    P. Costa, M. C. Ruivo, Y. L. Kalinovskyet al., Phys. Rev. C70, 025204 (2004)

  • [16]

    P. Costa, M. C. Ruivo, C. A. de Sousaet al., Phys. Rev. D70, 116013 (2004)

  • [17]

    P. Costa, M. C. Ruivo, C. A. de Sousaet al., Phys. Rev. D71, 116002 (2005)

  • [18]

    J. W. Chen, K. Fukushima, H. Kohyamaet al., Phys. Rev. D80, 054012 (2009)

  • [19]

    T. Brauner, K. Fukushima, and Y. Hidaka,Phys. Rev. D80, 074035 (2009), [Erratum:Phys. Rev. D 81 119904 (2010)]

  • [20]

    G. A. Contrera, D. G. Dumm, and N. N. Scoccola, Phys. Rev. D81, 054005 (2010)

  • [21]

    M. C. Ruivo, M. Santos, P. Costaet al., Phys. Rev. D85, 036001 (2012)

  • [22]

    Y. Jiang and P. Zhuang, Phys. Rev. D86, 105016 (2012)

  • [23]

    M. C. Ruivo, P. Costa, and C. A. de Sousa, Phys. Rev. D86, 116007 (2012)

  • [24]

    T. Xia, L. He, and P. Zhuang, Phys. Rev. D88(5), 056013 (2013)

  • [25]

    Y. Jiang, T. Xia, and P. Zhuang, Phys. Rev. D93(7), 074006 (2016)

  • [26]

    S. K. Rai and V. K. Tiwari, Eur. Phys. J. Plus135(10), 844 (2020)

  • [27]

    X. Li, W. J. Fu, and Y. X. Liu, Phys. Rev. D101(5), 054034 (2020)

  • [28]

    M. Kawaguchi, S. Matsuzaki, and A. Tomiya, Phys. Lett. B813, 136044 (2021)

  • [29]

    M. Kawaguchi, S. Matsuzaki, and A. Tomiya, Phys. Rev. D103(5), 054034 (2021)

  • [30]

    C. X. Cui, J. Y. Li, S. Matsuzakiet al., Phys. Rev. D105(11), 114031 (2022)

  • [31]

    G. Fejös and A. Patkos, Phys. Rev. D105(9), 096007 (2022)

  • [32]

    T. Csorgo, R. Vertesi, and J. Sziklai, Phys. Rev. Lett.105, 182301 (2010)

  • [33]

    S. Ejiri, Phys. Rev. D78, 074507 (2008)

  • [34]

    K. Fukushima and T. Hatsuda, Rept. Prog. Phys.74, 014001 (2011)

  • [35]

    X. An, M. Bluhm, L. Duet al., Nucl. Phys. A1017, 122343 (2022)

  • [36]

    I. M. Barbour, S. E. Morrison, E. G. Klepfishet al., Nucl. Phys. B Proc. Suppl.60, 220-234 (1998)

  • [37]

    Y. Nambu and G. Jona-Lasinio, Phys. Rev.122, 345-358 (1961)

  • [38]

    Y. Nambu and G. Jona-Lasinio, Phys. Rev.124, 246-254 (1961)

  • [39]

    M. Levy, Il Nuovo Cimento A (1965-1970)52, 23 (1967)

  • [40]

    J. T. Lenaghan, D. H. Rischke, and J. Schaffner-Bielich, Phys. Rev. D62, 085008 (2000)

  • [41]

    B. J. Schaefer and M. Wagner, Phys. Rev. D79, 014018 (2009)

  • [42]

    S. P. Klevansky, Rev. Mod. Phys.64, 649-708 (1992)

  • [43]

    C. G. Callan Jr., R. F. Dashen, and D. J. Gross, Phys. Lett. B63, 334-340 (1976)

  • [44]

    R. Jackiw and C. Rebbi, Phys. Rev. Lett.37, 172-175 (1976)

  • [45]

    J. I. Kapusta and C. Gale,Finite-temperature field theory: Principles and applications, Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2011).

  • [46]

    P. A. Zylaet al. (Particle Data Group), PTEP2020(8), 083C (2020)

  • [47]

    E. Witten, Nucl. Phys. B156, 269-283 (1979)

  • [48]

    G. Veneziano, Nucl. Phys. B159, 213-224 (1979)

  • [49]

    L. Del Debbio, L. Giusti, and C. Pica, Phys. Rev. Lett.94, 032003 (2005)

  • [50]

    S. Durr, Z. Fodor, C. Hoelblinget al., JHEP04, 055 (2007)

  • [51]

    K. Cichyet al. (ETM), JHEP09, 020 (2015)

  • [52]

    D. Horvatic, D. Klabucar, and A. E. Radzhabov, Phys. Rev. D76, 096009 (2007)

  • [53]

    S. Benic, D. Horvatic, D. Kekezet al., Phys. Rev. D84, 016006 (2011)

  • [54]

    J. Baacke and S. Michalski, Phys. Rev. D67, 085006 (2003)

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