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  Complex Langevin and boundary terms

Scherzer, M., Seiler, E., Sexty, D., & Stamatescu, I.-O. (2019). Complex Langevin and boundary terms. Physical Review D, 99, 014512. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-215.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0005-D6AF-5 Version Permalink: https://hdl.handle.net/21.11116/0000-0005-D6B0-2
Genre: Journal Article

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 Creators:
Scherzer, Manuel1, Author
Seiler, Erhard1, Author
Sexty, Denes1, Author
Stamatescu, Ion-Olimpiu1, Author
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Field Theory
 Abstract: It is well known that the Complex Langevin (CL) method sometimes fails to converge or converges to the wrong limit. We identified one reason for this long ago: insufficient decay of the probability density either near infinity or near poles of the drift, leading to boundary terms that spoil the formal argument for correctness. To gain a deeper understanding of this phenomenon, we analyze the emergence of such boundary terms thoroughly in a simple model, allowing some analytic results for comparing with numerics. We also show how some simple modification stabilizes the CL process in such a way that it produces results agreeing with direct integration.

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 Dates: 2019
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: Other: MPP-2018-215
URI: https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2018-215
arXiv: arxiv:1808.05187
URI: https://inspirehep.net/search?p=find+eprint+1808.05187
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Title: Physical Review D
  Abbreviation : Phys.Rev.D
Source Genre: Journal
 Creator(s):
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Publ. Info: -
Pages: - Volume / Issue: 99 Sequence Number: - Start / End Page: 014512 Identifier: -