Equation of state and Taylor expansions at nonzero isospin chemical potential

TL;DR

This paper computes the equation of state of isospin asymmetric QCD at various temperatures using lattice simulations, focusing on pressure, trace anomaly, and speed of sound, and explores extending the EoS to small baryon chemical potentials.

Contribution

It provides new lattice QCD results for the equation of state at non-zero isospin chemical potential and initiates the extension to small baryon chemical potentials via Taylor expansion.

Findings

Computed pressure and trace anomaly at different temperatures.

Extracted the speed of sound in isospin asymmetric QCD.

Outlined steps for extending the EoS to small baryon chemical potentials.

Abstract

We compute the equation of state of isospin asymmetric QCD at zero and non-zero temperatures using direct simulations of lattice QCD with three dynamical flavors at physical quark masses. In addition to the pressure and the trace anomaly and their behavior towards the continuum limit, we will particularly discuss the extraction of the speed of sound. Furthermore, we discuss first steps towards the extension of the EoS to small non-zero baryon chemical potentials via Taylor expansion.