Scaling functions in the soft-wall AdS/QCD models

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.

Publication Details

Journal
ArXiv.org
Published
2025-07-30
Primary Topic
High-Energy Particle Collisions Research
Type
article
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article

Scaling functions in the soft-wall AdS/QCD models

ArXiv.org
High-Energy Particle Collisions Research
article

Scaling functions in the soft-wall AdS/QCD models

article en

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.

ArXiv.org
Openalex Percentile: Top 76%
High-Energy Particle Collisions Research
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Scaling functions in the soft-wall AdS/QCD models · ArXiv.org (2025) | TGRS Research Map | TGRS