An efficient method to compute the residual phase on a Lefschetz thimble
High Energy Physics - Lattice
2014-07-09 v2
Abstract
We propose an efficient method to compute the so-called residual phase that appears when performing Monte Carlo calculations on a Lefschetz thimble. The method is stochastic and its cost scales linearly with the physical volume, linearly with the number of stochastic estimators and quadratically with the length of the extra dimension along the gradient flow. This is a drastic improvement over previous estimates of the cost of computing the residual phase. We also report on basic tests of correctness and scaling of the code.
Keywords
Cite
@article{arxiv.1403.5637,
title = {An efficient method to compute the residual phase on a Lefschetz thimble},
author = {M. Cristoforetti and F. Di Renzo and G. Eruzzi and A. Mukherjee and C. Schmidt and L. Scorzato and C. Torrero},
journal= {arXiv preprint arXiv:1403.5637},
year = {2014}
}
Comments
New simulations, new plot, new appendix added. To appear in PRD. 9 pages, 3 figures