Complex Langevin simulations of a finite density matrix model for QCD

Authors

Jacques BlochFollow
Jonas Glesaaen
Owe Philipsen
Jacobus Verbaarschot
Savvas Zafeiropoulos, William & MaryFollow

Document Type

Other

Department/Program

Physics

Journal Title

XIITH QUARK CONFINEMENT AND THE HADRON SPECTRUM

Pub Date

2017

Volume

137

Abstract

We study a random matrix model for QCD at finite density via complex Langevin dynamics. This model has a phase transition to a phase with nonzero baryon density. We study the convergence of the algorithm as a function of the quark mass and the chemical potential and focus on two main observables: the baryon density and the chiral condensate. For simulations close to the chiral limit, the algorithm has wrong convergence properties when the quark mass is in the spectral domain of the Dirac operator. A possible solution of this problem is discussed.

Recommended Citation

Bloch, Jacques; Glesaaen, Jonas; Philipsen, Owe; Verbaarschot, Jacobus; and Zafeiropoulos, Savvas, Complex Langevin simulations of a finite density matrix model for QCD (2017). XIITH QUARK CONFINEMENT AND THE HADRON SPECTRUM, 137.
https://doi.org/10.1051/epjconf/201713707030

DOI

https://doi.org/10.1051/epjconf/201713707030