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. Here, we study analytic properties of these gradient flows, and confirm them by numerical tests in simple examples.
- Authors:
-
- Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center
- Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1425163
- Report Number(s):
- RBRC-1241; BNL-114873-2017-JAAM
Journal ID: ISSN 1029-8479; TRN: US1802056
- Grant/Contract Number:
- SC0012704
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS
Citation Formats
Tanizaki, Yuya, Nishimura, Hiromichi, and Verbaarschot, Jacobus J. M.. Gradient flows without blow-up for Lefschetz thimbles. United States: N. p., 2017.
Web. doi:10.1007/JHEP10(2017)100.
Tanizaki, Yuya, Nishimura, Hiromichi, & Verbaarschot, Jacobus J. M.. Gradient flows without blow-up for Lefschetz thimbles. United States. https://doi.org/10.1007/JHEP10(2017)100
Tanizaki, Yuya, Nishimura, Hiromichi, and Verbaarschot, Jacobus J. M.. Mon .
"Gradient flows without blow-up for Lefschetz thimbles". United States. https://doi.org/10.1007/JHEP10(2017)100. https://www.osti.gov/servlets/purl/1425163.
@article{osti_1425163,
title = {Gradient flows without blow-up for Lefschetz thimbles},
author = {Tanizaki, Yuya and Nishimura, Hiromichi and Verbaarschot, Jacobus J. M.},
abstractNote = {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.},
doi = {10.1007/JHEP10(2017)100},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2017,
place = {United States},
year = {2017},
month = {10}
}
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Cited by: 16 works
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Works referencing / citing this record:
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