With complex Langevin towards the QCD phase diagram

TL;DR

This paper employs complex Langevin simulations to investigate the QCD phase diagram across various chemical potentials and temperatures, providing insights into fermion density behavior and phase transitions.

Contribution

It introduces the use of complex Langevin methods with Wilson fermions to explore the QCD phase diagram at finite density.

Findings

Fermion density remains zero at low temperature until a threshold.

Results are consistent with the Silver Blaze phenomenon.

Provides new data on the Polyakov loop behavior.

Abstract

We use complex Langevin simulations to explore the QCD phase diagram over a large range of chemical potentials and temperatures. For our simulations, we use two flavours of dynamical Wilson fermions with a pion mass of approximately $480\,$MeV with a spatial volume of $24^3$. Here we report on consistency checks at zero chemical potentials and present our results for the fermion density and the Polyakov loop. We find that at the lowest temperature the fermion density remains zero until $m_N/3$, in line with the expectations from the Silver Blaze phenomenon.