English

Bayesian Inference of the Critical Endpoint in 2+1-Flavor System from Holographic QCD

High Energy Physics - Phenomenology 2025-07-01 v2

Abstract

We present a Bayesian holographic model constructed by integrating the equation of state and baryon number susceptibility at zero chemical potential from lattice QCD. The model incorporates error estimates derived from lattice data. With this model, we systematically investigate the thermodynamic properties of the 2+1-flavor QCD system. Using Bayesian Inference, we perform precise calibration of the model parameters and determined the critical endpoint (CEP) position under the maximum a posterior (MAP) estimation to be (Tc,μBc)=(0.0859  GeV,0.742  GeV)(T^{c},\mu_{B}^{c})=(0.0859\;\mathrm{GeV},0.742\;\mathrm{GeV}). Additionally, we predict the CEP positions within 68\% and 95\% confidence levels, yielding (Tc,  μBc)68%(T^{c},\; \mu_{B}^{c})_{68\%}=(0.08200.0889,0.710.77)  GeV(0.0820\text{--}0.0889, 0.71\text{--}0.77)\;\mathrm{GeV} and (Tc,  μBc)95%(T^{c},\; \mu_{B}^{c})_{95\%}=(0.08160.0898,  0.710.79)  GeV(0.0816\text{--}0.0898,\; 0.71\text{--}0.79)\;\mathrm{GeV}, respectively. Moreover, to validate the reliability and predictive power of our approach, we conduct a comprehensive comparison between our predictions and potential CEP locations proposed by other theoretical models. This work not only establishes a novel Bayesian framework for holographic modeling but also provides valuable insights and theoretical support for exploring phase transitions in strongly-interacting matter under extreme conditions.

Keywords

Cite

@article{arxiv.2501.17763,
  title  = {Bayesian Inference of the Critical Endpoint in 2+1-Flavor System from Holographic QCD},
  author = {Liqiang Zhu and Xun Chen and Kai Zhou and Hanzhong Zhang and Mei Huang},
  journal= {arXiv preprint arXiv:2501.17763},
  year   = {2025}
}