One of the main challenges in simulations on Lefschetz thimbles is the computation of the relative weights of contributing thimbles. In this paper we propose a solution to that problem by means of computing those weights using a reweighting procedure. Besides we present recipes for finding parametrizations of thimbles and anti-thimbles for a given theory. Moreover, we study some approaches to combine the Lefschetz thimble method with the Complex Langevin evolution. Our numerical investigations are carried out by using toy models among which we consider a one-site z^4 model as well as a U(1) one-link model.
Cited by 3
Alexei Bazavov et al., Hot-dense Lattice QCD
Eur. Phys. J. A 55, 194 (2019) [Crossref]
Maksim Ulybyshev et al., Lefschetz thimbles decomposition for the Hubbard model on the hexagonal lattice
Phys. Rev. D 101, 014508 (2020) [Crossref]
Mari Carmen BaÃ±uls et al., Review on novel methods for lattice gauge theories
Rep. Prog. Phys. 83, 024401 (2020) [Crossref]
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- 1 Stefan Bluecher,
- 1 2 Jan M. Pawlowski,
- 1 Manuel Scherzer,
- 1 Mike Schlosser,
- 1 Ion-Olimpiu Stamatescu,
- 1 Sebastian Syrkowski,
- 1 Felix Ziegler