Chiral-scale effective field theory for dense and thermal systems

TL;DR

This paper discusses properties of nuclear matter using chiral-scale effective field theory, revealing that the sound velocity in compact star matter can reach the conformal limit and peaks at intermediate densities.

Contribution

It introduces a chiral-scale density counting rule and extends the effective field theory to dense and thermal systems up to high order contributions.

Findings

Sound velocity saturates the conformal limit in compact star matter.

Sound velocity exhibits a peak at intermediate density.

Extended the theory to include thermal systems with high-order contributions.

Abstract

In this contribution, I will present some properties of nuclear matter (NM) by using the chiral-scale effective field theory that is anchored on the chiral, scale and hidden local flavor symmetries of QCD. We show that the sound velocity (SV) of the compact star matter can saturate the conformal limit, the SV exhibits a peak configuration in the intermediate density. To extend the chiral-scale effective field theory to both dense and tnermal systems, we setup a chiral-scale density counting (CSDC) rule and explore the contributions up to $\mathcal{O}(k_c^{12})$.