Gradient flows without blow-up for Lefschetz thimbles

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

doi:10.1007/JHEP10(2017)100

Title: Gradient flows without blow-up for Lefschetz thimbles

Journal Article · 15 October 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP10(2017)100 · OSTI ID:1425163

^[1]; Nishimura, Hiromichi ^[1]; Verbaarschot, Jacobus J. M. ^[2]

Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy

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

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Research Organization:: Brookhaven National Laboratory (BNL), Upton, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: SC0012704

OSTI ID:: 1425163

Report Number(s):: RBRC-1241; BNL-114873-2017-JAAM

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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