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arXiv:1706.03822·v2·High Energy Physics — Lattice

Gradient flows without blow-up for Lefschetz thimbles

Yuya Tanizaki🇺🇸 · Hiromichi Nishimura🇺🇸 · Jacobus J. M. Verbaarschot🇺🇸

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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.

Comments: 31 pages, 11 figures, (v2) conclusion part is expanded

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