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Conference Paper/Proceeding/Abstract 892 views

Localised distributions in complex Langevin dynamics

Giudice, Pietro, Aarts, Gert, Seiler, Erhard, Gert Aarts Orcid Logo

Volume: "LATTICE2013", Start page: 200

Swansea University Author: Gert Aarts Orcid Logo

Abstract

Complex Langevin dynamics can be used to perform numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is effectively sampled during the stochastic process. In the context...

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Published: 2013
Online Access: http://inspirehep.net/record/1253854
URI: https://cronfa.swan.ac.uk/Record/cronfa22574
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Abstract: Complex Langevin dynamics can be used to perform numerical simulations of theories with a complex action. In order to justify the procedure, it is important to understand the properties of the real and positive distribution, which is effectively sampled during the stochastic process. In the context of a simple model, we study this distribution and relate the results to the recently derived criteria for correctness. We demonstrate analytically that if the distribution has support only on a strip in the complexified configuration space, correct results are expected.
Item Description: @articleGiudice:2013eva, author = "Giudice, Pietro and Aarts, Gert and Seiler, Erhard", title = "Localised distributions in complex Langevin dynamics", journal = "PoS", volume = "LATTICE2013", pages = "200", year = "2014", eprint = "1309.3191", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1309.3191;%%",
College: Faculty of Science and Engineering
Start Page: 200