2009/02/28 by Gert Aarts · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Bose gas #Cold Atom Physics and Bose-Einstein Condensates #Distribution (mathematics) #Dynamics (music) #Finite volume method #Gas Dynamics and Kinetic Theory #Langevin dynamics #Mean field theory #Quantization (signal processing) #hep-lat #hep-ph #nucl-th #stochastic dynamics and bifurcation
paper · pdf · doi:10.1088/1126-6708/2009/05/052
20 pages, 6 eps figures, discussion on the severeness of the sign problem added, to appear in JHEP
arxiv created 2009/05/05 · openalex publication_date 2009/05/14 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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].