Tempered transitions between thimbles
High Energy Physics - Lattice
2017-08-23 v1
Abstract
Quantum field theories with complex actions cannot be investigated using importance sampling due to the sign problem. One possible solution is to use the holomorphic gradient flow, a method we introduced related to the Lefschetz thimbles idea. In many cases the probability distribution generated by this method is multi-modal and standard Monte-Carlo sampling fails. We propose an algorithm that incorporates tempered proposals to solve this problem. We apply this algorithm to the 0+1 dimensional Thirring model at finite density for a parameter set where standard sampling fails and show that tempered proposals cure this problem.
Cite
@article{arxiv.1703.02414,
title = {Tempered transitions between thimbles},
author = {Andrei Alexandru and Gokce Basar and Paulo F. Bedaque and Neill C. Warrington},
journal= {arXiv preprint arXiv:1703.02414},
year = {2017}
}
Comments
10 pages, 6 figures