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.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2017)100 |
| id |
doaj-bb9ebc30bf9e4376aeed74d53094edf0 |
|---|---|
| record_format |
Article |
| spelling |
doaj-bb9ebc30bf9e4376aeed74d53094edf02020-11-24T22:19:47ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171013110.1007/JHEP10(2017)100Gradient flows without blow-up for Lefschetz thimblesYuya Tanizaki0Hiromichi Nishimura1Jacobus J. M. Verbaarschot2RIKEN BNL Research Center, Brookhaven National LaboratoryRIKEN BNL Research Center, Brookhaven National LaboratoryDepartment of Physics and Astronomy, Stony Brook UniversityAbstract 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.http://link.springer.com/article/10.1007/JHEP10(2017)100Lattice field theory simulation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yuya Tanizaki Hiromichi Nishimura Jacobus J. M. Verbaarschot |
| spellingShingle |
Yuya Tanizaki Hiromichi Nishimura Jacobus J. M. Verbaarschot Gradient flows without blow-up for Lefschetz thimbles Journal of High Energy Physics Lattice field theory simulation |
| author_facet |
Yuya Tanizaki Hiromichi Nishimura Jacobus J. M. Verbaarschot |
| author_sort |
Yuya Tanizaki |
| title |
Gradient flows without blow-up for Lefschetz thimbles |
| title_short |
Gradient flows without blow-up for Lefschetz thimbles |
| title_full |
Gradient flows without blow-up for Lefschetz thimbles |
| title_fullStr |
Gradient flows without blow-up for Lefschetz thimbles |
| title_full_unstemmed |
Gradient flows without blow-up for Lefschetz thimbles |
| title_sort |
gradient flows without blow-up for lefschetz thimbles |
| publisher |
SpringerOpen |
| series |
Journal of High Energy Physics |
| issn |
1029-8479 |
| publishDate |
2017-10-01 |
| description |
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. |
| topic |
Lattice field theory simulation |
| url |
http://link.springer.com/article/10.1007/JHEP10(2017)100 |
| work_keys_str_mv |
AT yuyatanizaki gradientflowswithoutblowupforlefschetzthimbles AT hiromichinishimura gradientflowswithoutblowupforlefschetzthimbles AT jacobusjmverbaarschot gradientflowswithoutblowupforlefschetzthimbles |
| _version_ |
1725777350457556992 |