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Gradient flows without blow-up for Lefschetz thimbles

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arxiv 1706.03822 v2 pith:TRLNRU4K submitted 2017-06-12 hep-lat hep-th

classification hep-lathep-th
keywords flowsgradientlefschetzthimblesanalyticblowblow-upconfirm
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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.

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Cited by 1 Pith paper

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  1. Quantum tunnelling, real-time dynamics and Picard-Lefschetz thimbles

    hep-th 2019-09 conditional novelty 5.0 of 10

    A generalized-thimble evaluation of the closed-time path integral reproduces Schrödinger-equation tunnelling dynamics in a double well, while the classical-statistical approximation deviates.

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