QCD equation of state via the complex Langevin method

TL;DR

This paper uses the complex Langevin method to perform lattice QCD simulations at finite chemical potential, providing insights into the equation of state and phase behavior of QCD with two light quark flavors.

Contribution

It demonstrates the application of the complex Langevin method to finite density QCD simulations, addressing the sign problem and calculating key thermodynamic quantities.

Findings

Calculated pressure, energy, and entropy equations of state.

Observed the Silver Blaze phenomenon.

Performed simulations with a pion mass of approximately 480 MeV.

Abstract

We present lattice simulations on the phase diagram of Quantum Chromodynamics (QCD) with two light quark flavours at finite chemical potential $\mu$. To circumvent the sign problem we use the complex Langevin method. In this study, we have carried out finite density lattice computations for a pion mass of $\sim 480$ MeV. We report on the pressure, energy and entropy equations of state in ab-initio lattice QCD calculations, as well as the observation of the Silver Blaze phenomenon.