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

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.

Invited talk at Strong and Electroweak Matter, Amsterdam, the Netherlands, 26-29 August 2008, 8 pages, 10 eps figures

References in corpus (21)

• Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
• A calculation of the bulk viscosity in SU(3) gluodynamics
• A calculation of the shear viscosity in SU(3) gluodynamics
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Functional integrals for QCD at nonzero chemical potential and zero density
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• Holographic spectral functions and diffusion constants for fundamental matter
• Lattice simulations of real-time quantum fields
• Transport coefficients, spectral functions and the lattice
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• Heavy Quark Diffusion from the Lattice
• Continuum and lattice meson spectral functions at nonzero momentum and high temperature
• Stochastic quantization at finite chemical potential
• Bulk viscosity and spectral functions in QCD
• Thermal spectral functions of strongly coupled N=4 supersymmetric Yang-Mills theory
• Infinite temperature limit of meson spectral functions calculated on the lattice
• Phase of the Fermion Determinant at Nonzero Chemical Potential
• Simulating nonequilibrium quantum fields with stochastic quantization techniques
• Real-time gauge theory simulations from stochastic quantization with optimized updating
• Correlation functions of the energy-momentum tensor in SU(2) gauge theory at finite temperature
• QCD thermodynamics at zero and non-zero density

Cited by in corpus (3)

• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Transport coefficients of a massive pion gas