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Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane

Gert Aarts Orcid Logo

Physical Review D, Volume: "D88", Issue: 9, Start page: 094501

Swansea University Author: Gert Aarts Orcid Logo

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Abstract

Lattice field theories with a complex action can be studied numerically by allowing a complexified configuration space to be explored. Here we compare the recently introduced formulation on a Lefschetz thimble with the result from stochastic quantisation (or complex Langevin dynamics) in the case of...

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Published in: Physical Review D
ISSN: 1550-7998 1550-2368
Published: 2013
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URI: https://cronfa.swan.ac.uk/Record/cronfa22576
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Abstract: Lattice field theories with a complex action can be studied numerically by allowing a complexified configuration space to be explored. Here we compare the recently introduced formulation on a Lefschetz thimble with the result from stochastic quantisation (or complex Langevin dynamics) in the case of a simple model and contrast the distributions being sampled. We also study the role of the residual phase on the Lefschetz thimble.
Item Description: @articleAarts:2013fpa, author = "Aarts, Gert", title = "Lefschetz thimbles and stochastic quantization: Complex actions in the complex plane", journal = "Phys.Rev.", number = "9", volume = "D88", pages = "094501", doi = "10.1103/PhysRevD.88.094501", year = "2013", eprint = "1308.4811", archivePrefix = "arXiv", primaryClass = "hep-lat", SLACcitation = "%%CITATION = ARXIV:1308.4811;%%",
College: Faculty of Science and Engineering
Issue: 9
Start Page: 094501