Phase Structure in a Dynamical Soft-Wall Holographic QCD Model
Song He, Shang-Yu Wu, Yi Yang, Pei-Hung Yuan
TL;DR
This paper develops a holographic QCD model using Einstein-Maxwell-dilaton theory, deriving analytic solutions, analyzing phase transitions, and comparing results with lattice QCD to understand quark matter properties.
Contribution
It introduces a family of analytic solutions in a dynamical soft-wall holographic QCD model with a flexible kinetic gauge function, and explores its phase structure and equations of state.
Findings
Phase diagram consistent with lattice QCD results
Analytic solutions for Einstein-Maxwell-dilaton system
Derived equations of state for quark matter
Abstract
We consider the Einstein-Maxwell-dilaton system with an arbitrary kinetic gauge function and a dilaton potential. A family of analytic solutions is obtained by the potential reconstruction method. We then study its holographic dual QCD model. The kinetic gauge function can be fixed by requesting the linear Regge spectrum of mesons. We calculate the free energy to obtain the phase diagram of the holographic QCD model and interpret our result as the heavy quarks system by comparing the recent lattice QCD simulation. We finally obtain the equations of state in our model.
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