Lefschetz thimbles and stochastic quantisation: Complex actions in the complex plane
High Energy Physics - Lattice
2013-11-13 v1 High Energy Physics - Theory
Abstract
Lattice field theories with a complex action can be studied numerically by allowing a complexified configuration space to be explored. Here we compare the recently introduced formulation on a Lefschetz thimble with the result from stochastic quantisation (or complex Langevin dynamics) in the case of a simple model and contrast the distributions being sampled. We also study the role of the residual phase on the Lefschetz thimble.
Cite
@article{arxiv.1308.4811,
title = {Lefschetz thimbles and stochastic quantisation: Complex actions in the complex plane},
author = {Gert Aarts},
journal= {arXiv preprint arXiv:1308.4811},
year = {2013}
}
Comments
13 pages, 7 figures