Scaling functions in the soft-wall AdS/QCD models
Zhongzheng Zhang (Department of Physics and Siyuan Laboratory, Jinan University, Guangzhou 510632, China)
; Danning Li (Department of Physics and Siyuan Laboratory, Jinan University, Guangzhou 510632, China); Lang Yu (College of Physics, Jilin University, Changchun 130012, People’s Republic of China); Zhibin Li (Institute for Astrophysics, School of Physics, Zhengzhou University, Zhengzhou 450001, China); Xinyang Wang (Fundamental Physics Center, School of Mechanics and Physics, Anhui University of Science and Technology, Huainan, Anhui 232001, China)
We investigate the static scaling behavior of the chiral condensate near the two-flavor critical point within the framework of the soft-wall AdS/QCD. The scaling functions are extracted from the chiral order parameters and are found to precisely match those obtained through mean-field calculations. Additionally, it is also checked that the scaling functions are independent of the specific construction of the holographic model. Furthermore, we develop the formalism for calculating the chiral susceptibility and demonstrate that the pseudocritical temperatures obey the scaling law for moderate quark masses. It is shown that the temperature scaling could be comparable with those obtained from Dyson-Schwinger equations and lattice simulations. While the soft-wall AdS/QCD framework predicts mean-field critical exponents that are universal, the critical coefficients and the crossover dynamics are model dependent and provide quantitative constraints for phenomenological model building. These findings could help improve the effectiveness of the soft-wall AdS/QCD.
