Holographic Symmetry Energy of the Nuclear Matter

TL;DR

This paper uses a holographic hard wall model to calculate the symmetry energy of nuclear and quark matter, revealing its dependence on density and its influence on phase transition temperatures.

Contribution

It introduces a holographic approach to compute nuclear symmetry energy and explores its effects on phase transitions in quark matter.

Findings

Symmetry energy is proportional to the square of nucleon density.

Symmetry energy decreases the Hawking-Page transition temperature.

Holographic model effectively describes symmetry energy in nuclear matter.

Abstract

We calculate the symmetry energy of the nuclear matter by using the bottom-up approach, so called hard wall model. To consider the nuclear matter, we introduce the isospin for u- and d-quarks. We find that in the hard wall model, the symmetry energy of the nuclear matter is proportional to the square of nucleon density. We also study the symmetry energy of the quark matter in the deconfining phase. Finally, we investigate the effect of the symmetry energy on the Hawking-Page transition and show that at the given quark density, the Hawking-Page transition temperature decreases due to the symmetry energy.