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Complex Langevin equations and Schwinger–Dyson equations

Complex Langevin equations and Schwinger-Dyson equations
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2009Embargo end date: 01 Jan 2007 English Publisher:Elsevier BVJournal:Nuclear Physics B, volume 811, pages 519-536 (issn: 0550-3213, Copyright policy )
Authors: Guralnik, Gerald; Pehlevan, Cengiz;

doi: 10.1016/j.nuclphysb.2008.11.034 , 10.48550/arxiv.0710.3756

arXiv: 0710.3756

Complex Langevin equations and Schwinger–Dyson equations

Abstract

Stationary distributions of complex Langevin equations are shown to be the complexified path integral solutions of the Schwinger-Dyson equations of the associated quantum field theory. Specific examples in zero dimensions and on a lattice are given. Relevance to the study of quantum field theory phase space is discussed.

23 pages, 4 figures, elsart, typos fixed, includes additional content

Related Organizations
Keywords

High Energy Physics - Theory, Nuclear and High Energy Physics, Complex Langevin equation, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Schwinger–Dyson equations, Quantum field theory on lattices, High Energy Physics - Phenomenology, High Energy Physics - Lattice, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Schwinger-Dyson equations, Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, complex langevin equation, Electromagnetic interaction; quantum electrodynamics

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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
29
Top 10%
Top 10%
Top 10%
Green
gold