Symmetry Energy and Universality classes of holographic QCD

TL;DR

This paper investigates the nuclear symmetry energy in dense matter through holographic QCD models, revealing a universal scaling index dependent only on dimensionality, which may relate to non-Fermi liquid behavior.

Contribution

It demonstrates that the symmetry energy's scaling index is invariant under model deformations and classifies holographic QCD models into universality classes based on this index.

Findings

Scaling index depends only on brane and space-time dimensionality.

The index is invariant under metric and embedding deformations.

Potential link between the index and non-Fermi liquid behavior.

Abstract

We study nuclear symmetry energy of dense matter using holographic QCD. We calculate it in a various holographic QCD models and show that the scaling index of the symmetry energy in dense medium is almost invariant under the smooth deformation of the metric as well as the embedding shape of the probe brane. We find that the scaling index depends only on the dimensionality of the branes and space-time. Therefore the scaling index of the symmetry energy characterizes the universality classes of holographic QCD models. We suggest that the scaling index might be also related to the non-fermi liquid behavior of the interacting nucleons.