Equation of State of dense QCD in external magnetic field

TL;DR

This paper investigates how external magnetic fields influence the equation of state of dense QCD matter at non-zero baryon density using lattice simulations, revealing significant enhancements and modifications in thermodynamic coefficients.

Contribution

First lattice QCD study of the equation of state at finite density in magnetic fields, focusing on expansion coefficients and their magnetic dependence.

Findings

Magnetic field significantly enhances the pressure expansion coefficients.

Magnetic field alters the temperature dependence of these coefficients.

Results obtained at imaginary chemical potential to mitigate the sign problem.

Abstract

In this proceeding we present our first results of the study of the QCD Equation of State at non-zero baryon density and in external magnetic field. We focused on the first three non-vanishing expansion coefficients of pressure in chemical potential and their dependence on magnetic field. The study is carried out within lattice simulations with $N_f=2+1$ dynamical quarks with physical quark masses. To overcome the sign problem, the simulations are carried out at imaginary baryon chemical potential. Our results suggest that external magnetic field considerably enhances the expansion coefficients and modifies their dependence on temperature.