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Gradient flows without blow-up for Lefschetz thimbles

High Energy Physics - Lattice 2017-11-09 v2 High Energy Physics - Theory

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.

Cite

@article{arxiv.1706.03822,
  title  = {Gradient flows without blow-up for Lefschetz thimbles},
  author = {Yuya Tanizaki and Hiromichi Nishimura and Jacobus J. M. Verbaarschot},
  journal= {arXiv preprint arXiv:1706.03822},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T20:16:48.524Z