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Complex Langevin dynamics at finite chemical potential: mean field analysis in the relativistic Bose gas

Gert Aarts

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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. [1].

Keywords

Lattice QCD

Lattice Quantum Field Theory

 

E-print Number: 0902.4686

Cited: by |

Refers: to

PACS

12.38.Gc Lattice QCD calculations

05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)

05.30.Jp Boson systems

Subjects

Quantum gases, liquids and solids

Computational physics

Statistical physics and nonlinear systems

Particle physics and field theory

Dates

Issue 05 (May 2009)

Received 16 March 2009, accepted for publication 5 May 2009

Published 14 May 2009



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