Published by IOP Publishing for SISSA
Received: March 16, 2009
Accepted: May 5, 2009
Published: May 14, 2009
Complex Langevin dynamics at finite chemical
potential: mean field analysis in the relativistic
Department of Physics, Swansea University,
Singleton Park, Swansea SA2 8PP, U.K.
Abstract: Stochastic quantization can potentially be used to simulate theories with a
complex action due to a nonzero chemical potential. We study complex Langevin dynamics
in the relativistic Bose gas analytically, using a mean field approximation. We concentrate
on the region with a Silver Blaze problem and discuss convergence, stability, fixed points,
and the severeness of the sign problem. The real distribution satisfying the extended
Fokker-Planck equation is constructed and its nonlocal form is explained. Finally, we
compare the mean field results in finite volume with the numerical data presented in ref. .
Keywords: Lattice Quantum Field Theory, Lattice QCD