English

Finite-density equation of state of hot QCD using the complex Langevin equation

High Energy Physics - Lattice 2026-04-22 v1 High Energy Physics - Phenomenology High Energy Physics - Theory

Abstract

We present the results of continuum-extrapolated lattice simulations of quantum chromodynamics (QCD) above the crossover temperature and for unprecedentedly high baryon densities at the physical point, employing the complex Langevin equation. In particular, we determine the QCD equation of state by computing the baryon density as well as the pressure as functions of the baryon chemical potential and the temperature. Potential issues with wrong convergence of complex Langevin dynamics are under control and we indeed find agreement with previous lattice studies working at smaller chemical potentials, as well as with perturbative hard-thermal-loop calculations at high temperatures.

Keywords

Cite

@article{arxiv.2604.19649,
  title  = {Finite-density equation of state of hot QCD using the complex Langevin equation},
  author = {Michael Mandl and Dénes Sexty and Daniel Unterhuber},
  journal= {arXiv preprint arXiv:2604.19649},
  year   = {2026}
}

Comments

5 pages, 5 figures