Path optimization in 0+1 dimensional QCD at finite density
High Energy Physics - Lattice
2019-11-20 v1
Abstract
We investigate the sign problem in 0+1 dimensional QCD at finite chemical potential by using the path optimization method. The SU(3) link variable is complexified to the SL(3,) link variable, and the integral path is represented by a feedforward neural network. The integral path is then optimized to weaken the sign problem. The average phase factor is enhanced to be greater than 0.99 on the optimized path. Results with and without diagonalized gauge fixing are compared and proven to be consistent. This is the first step of applying the path optimization method to gauge theories.
Keywords
Cite
@article{arxiv.1904.11140,
title = {Path optimization in 0+1 dimensional QCD at finite density},
author = {Yuto Mori and Kouji Kashiwa and Akira Ohnishi},
journal= {arXiv preprint arXiv:1904.11140},
year = {2019}
}
Comments
12 pages, 10 figures