Complex Langevin equations and Schwinger-Dyson equations

DOI10.1016/j.nuclphysb.2008.11.034zbMath1194.82073arXiv0710.3756OpenAlexW2012918791MaRDI QIDQ993111

Gerald Guralnik, Cengiz Pehlevan

Publication date: 10 September 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3756

zbMATH Keywords

Schwinger-Dyson equationscomplex langevin equation

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Electromagnetic interaction; quantum electrodynamics (81V10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items

Some remarks on Lefschetz thimbles and complex Langevin dynamics, Complex Langevin and other approaches to the sign problem in quantum many-body physics, Complex Langevin dynamics and supersymmetric quantum mechanics, Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles, Complex saddle points and the sign problem in complex Langevin simulation, Stabilizing complex Langevin for real-time gauge theories with an anisotropic kernel, Temporal breakdown and Borel resummation in the complex Langevin method, Effective potential for complex Langevin equations, On the convergence of complex Langevin dynamics: the three-dimensional XY model at finite chemical potential, Degenerate distributions in complex Langevin dynamics: one-dimensional QCD at finite chemical potential, The resurgence of instantons: multi-cut Stokes phases and the Painlevé II equation, Resurgence theory, ghost-instantons, and analytic continuation of path integrals, Schwinger–Dyson equations and line integrals, Complex Langevin analysis of the spontaneous breaking of 10D rotational symmetry in the Euclidean IKKT matrix model, Stochastic quantization of real-time thermal field theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic quantization at finite chemical potential
• Complexified path integrals and the phases of quantum field theory
• Real-time gauge theory simulations from stochastic quantization with optimized updating
• Spectrum of certain non-self-adjoint operators and solutions of Langevin equations with complex drift
• The mechanism of complex Langevin simulations
• Minkowski stochastic quantization
• On the correct convergence of complex Langevin simulations for polynomial actions
• Representation of complex probabilities
• The existence of positive representations for complex weights
• Handbook of stochastic methods for physics, chemistry and natural sciences.