Explicit positive representation for complex weights on Rd

Explicit positive representation for complex weights on Rd

It is an old idea to replace averages of observables with respect to a complex weight by expectation values with respect to a genuine probability measure on complexified space. This is precisely what one would like to get from complex Langevin simulations. Unfortunately, these fail in many cases of...

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Main Authors: Ruba Błażej, Wyrzykowski Adam
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:EPJ Web of Conferences
Online Access:https://doi.org/10.1051/epjconf/201817511022
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spelling doaj-28fb6794b92e4db3a8772fa123274f0d2021-08-02T11:29:08ZengEDP SciencesEPJ Web of Conferences2100-014X2018-01-011751102210.1051/epjconf/201817511022epjconf_lattice2018_11022Explicit positive representation for complex weights on RdRuba BłażejWyrzykowski AdamIt is an old idea to replace averages of observables with respect to a complex weight by expectation values with respect to a genuine probability measure on complexified space. This is precisely what one would like to get from complex Langevin simulations. Unfortunately, these fail in many cases of physical interest. We will describe method of deriving positive representations by matching of moments and show simple examples of successful constructions. It will be seen that the problem is greatly underdetermined.https://doi.org/10.1051/epjconf/201817511022
collection DOAJ
language English
format Article
sources DOAJ
author Ruba Błażej
Wyrzykowski Adam
spellingShingle Ruba Błażej
Wyrzykowski Adam
Explicit positive representation for complex weights on Rd
EPJ Web of Conferences
author_facet Ruba Błażej
Wyrzykowski Adam
author_sort Ruba Błażej
title Explicit positive representation for complex weights on Rd
title_short Explicit positive representation for complex weights on Rd
title_full Explicit positive representation for complex weights on Rd
title_fullStr Explicit positive representation for complex weights on Rd
title_full_unstemmed Explicit positive representation for complex weights on Rd
title_sort explicit positive representation for complex weights on rd
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2018-01-01
description It is an old idea to replace averages of observables with respect to a complex weight by expectation values with respect to a genuine probability measure on complexified space. This is precisely what one would like to get from complex Langevin simulations. Unfortunately, these fail in many cases of physical interest. We will describe method of deriving positive representations by matching of moments and show simple examples of successful constructions. It will be seen that the problem is greatly underdetermined.
url https://doi.org/10.1051/epjconf/201817511022
work_keys_str_mv AT rubabłazej explicitpositiverepresentationforcomplexweightsonrd
AT wyrzykowskiadam explicitpositiverepresentationforcomplexweightsonrd
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