Stability of complex Langevin dynamics in effective models

Aarts, Gert and James, Frank A. and Pawlowski, Jan M. and Seiler, Erhard and Sexty, Denes and Stamatescu, Ion-Olimpiu (2013) Stability of complex Langevin dynamics in effective models. JOURNAL OF HIGH ENERGY PHYSICS (3): 073. ISSN 1029-8479,

Full text not available from this repository. (Request a copy)

Abstract

The sign problem at nonzero chemical potential prohibits the use of importance sampling in lattice simulations. Since complex Langevin dynamics does not rely on importance sampling, it provides a potential solution. Recently it was shown that complex Langevin dynamics fails in the disordered phase in the case of the three-dimensional XY model, while it appears to work in the entire phase diagram in the case of the three-dimensional SU(3) spin model. Here we analyse this difference and argue that it is due to the presence of the nontrivial Haar measure in the SU(3) case, which has a stabilizing effect on the complexified dynamics. The freedom to modify and stabilize the complex Langevin process is discussed in some detail.

Item Type: Article
Uncontrolled Keywords: FLUX REPRESENTATION; SPIN MODEL; SIMULATION; EQUATION; PROBABILITIES; SYSTEMS; QCD; Lattice Quantum Field Theory; Quark-Gluon Plasma
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 23 Apr 2020 13:13
Last Modified: 23 Apr 2020 13:13
URI: https://pred.uni-regensburg.de/id/eprint/17011

Actions (login required)

View Item View Item