Fighting the sign problem in a chiral random matrix model with contour deformations
High Energy Physics - Lattice
2023-01-31 v1
Abstract
We studied integration contour deformations in the chiral random matrix theory of Stephanov with the goal of alleviating the finite-density sign problem. We considered simple ans\"atze for the deformed integration contours, and optimized their parameters. We find that optimization of a single parameter manages to considerably improve on the severity of the sign problem. We show numerical evidence that the improvement achieved is exponential in the degrees of freedom of the system, i.e., the size of the random matrix. We also compare the optimization method with contour deformations coming from the holomorphic flow equations.
Cite
@article{arxiv.2301.12947,
title = {Fighting the sign problem in a chiral random matrix model with contour deformations},
author = {Matteo Giordano and Attila Pasztor and David Pesznyak and Zoltan Tulipant},
journal= {arXiv preprint arXiv:2301.12947},
year = {2023}
}
Comments
10 pages, 7 figures