24-26 June 2019
Bunkyo School Building, Tokyo Campus, University of Tsukuba
Japan timezone

Complex Langevin Simulations: Reliability and applications to full QCD at non-zero density

24 Jun 2019, 10:10
25m
134 (Bunkyo School Building, Tokyo Campus, University of Tsukuba)

134

Bunkyo School Building, Tokyo Campus, University of Tsukuba

3-29-1 Otsuka Bunkyo-ku Tokyo 112-0012 Japan
Oral talk Session 1

Speaker

Mr Manuel Scherzer (Institute for theoretical Physics, Heidelberg University)

Description

M. Scherzer, E. Seiler, D. Sexty and I.-O. Stamatescu Complex Langevin (Equation) is a well defined method providing a general instrument for ab initio, approximation free studies of realistic lattice models even for complex action. The latter include full QCD at finite density and CLE appears as the only method presently applied in this context. The complexification of the variable space required by a complex action introduces, however, special conditions to be satisfied in order to ensure correct convergence. Analyzing these conditions led to the development of procedures and criteria which allow to control the simulations and define physical reliability regions. We here develop one essential condition directly related to the correctness proof to a general criterion applicable on-line also to QCD and discuss its relation to other criteria. We also present full QCD CLE results for the transition from the confinement to the deconfined phase for $0 \le \mu / T_c( \mu=0) \le 5$ and for observables vs $\mu$ at high temperature.

Primary author

Mr Manuel Scherzer (Institute for theoretical Physics, Heidelberg University)

Presentation Materials