Gradient flows without blow-up for Lefschetz thimbles

Yuya Tanizaki; Hiromichi Nishimura; Jacobus J.M. Verbaarschot

doi:10.1007/JHEP10(2017)100

Gradient flows without blow-up for Lefschetz thimbles

Yuya Tanizaki
, Hiromichi Nishimura
, Jacobus J.M. Verbaarschot

Physics and Astronomy

Brookhaven National Lab

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

We propose new gradient flows that define Lefschetz thimbles and do not blow up in a finite flow time. We study analytic properties of these gradient flows, and confirm them by numerical tests in simple examples.

Original language	English
Article number	100
Journal	Journal of High Energy Physics
Volume	2017
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2017)100
State	Published - Oct 1 2017

Keywords

Lattice field theory simulation

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10.1007/JHEP10(2017)100

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title = "Gradient flows without blow-up for Lefschetz thimbles",

abstract = "We propose new gradient flows that define Lefschetz thimbles and do not blow up in a finite flow time. We study analytic properties of these gradient flows, and confirm them by numerical tests in simple examples.",

keywords = "Lattice field theory simulation",

author = "Yuya Tanizaki and Hiromichi Nishimura and Verbaarschot, \{Jacobus J.M.\}",

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year = "2017",

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doi = "10.1007/JHEP10(2017)100",

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T1 - Gradient flows without blow-up for Lefschetz thimbles

AU - Tanizaki, Yuya

AU - Nishimura, Hiromichi

AU - Verbaarschot, Jacobus J.M.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - We propose new gradient flows that define Lefschetz thimbles and do not blow up in a finite flow time. We study analytic properties of these gradient flows, and confirm them by numerical tests in simple examples.

AB - We propose new gradient flows that define Lefschetz thimbles and do not blow up in a finite flow time. We study analytic properties of these gradient flows, and confirm them by numerical tests in simple examples.

KW - Lattice field theory simulation

UR - https://www.scopus.com/pages/publications/85032355179

U2 - 10.1007/JHEP10(2017)100

DO - 10.1007/JHEP10(2017)100

M3 - Article

AN - SCOPUS:85032355179

SN - 1126-6708

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

M1 - 100

ER -

Gradient flows without blow-up for Lefschetz thimbles

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Keywords

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