Journal of High Energy Physics (Oct 2017)

Gradient flows without blow-up for Lefschetz thimbles

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

DOI
https://doi.org/10.1007/JHEP10(2017)100
Journal volume & issue
Vol. 2017, no. 10
pp. 1 – 31

Abstract

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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.

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