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Two complex problems on the lattice: transport coefficients and finite chemical potential

2008/11/12 by Gert Aarts · 7 citations
Mathematics · Physics and Astronomy · #Algorithm #Brownian dynamics #Brownian motion #Cold Atom Physics and Bose-Einstein Condensates #Euclidean geometry #Geometry #High-Energy Particle Collisions Research #Langevin dynamics #Lattice (music) #Mathematics #Obstacle #Path integral formulation #Physics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #Stochastic quantization #Thermodynamic limit #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2009.01.019

published in Nuclear Physics A 820(1-4), 57c-64c (Elsevier BV) · Invited talk at Strong and Electroweak Matter, Amsterdam, the Netherlands, 26-29 August 2008, 8 pages, 10 eps figures

arxiv created 2008/11/12 · openalex publication_date 2009/03/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

After a few remarks about the problem of extracting transport coefficients from lattice QCD calculations, I report on recent developments in applying stochastic quantization and complex Langevin dynamics to field theories with a complex action due to a nonzero chemical potential. First results demonstrate that the sign problem poses no obstacle for this approach, even in the thermodynamic limit. I conclude with a comparison of two simple one-link models, describing a euclidean system at finite chemical potential and a Minkowski system in real time.

Citations