Scaling functions in the soft-wall AdS/QCD models

TL;DR

This paper analyzes the critical scaling behavior of the chiral condensate in soft-wall AdS/QCD models, demonstrating agreement with mean-field results and consistency across different holographic constructions, with implications for understanding QCD phase transitions.

Contribution

It develops a formalism for chiral susceptibility and shows that the temperature scaling near the critical point aligns with other non-perturbative methods, enhancing the soft-wall AdS/QCD approach.

Findings

Scaling functions match mean-field calculations

Scaling functions are model-independent

Pseudo-critical temperatures follow the expected scaling law

Abstract

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 pseudo-critical 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. These findings could help improve the effectiveness of the soft-wall AdS/QCD.