Path optimization in $0+1$D QCD at finite density

Abstract We investigate the sign problem in $0+1$D quantum chromodynamics at finite chemical potential by using the path optimization method. The SU(3) link variable is complexified to the SL(3,$\mathbb{C}$) link variable, and the integral path is represented by a feedforward neural network. The int...

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Bibliographic Details
Published in:Progress of theoretical and experimental physics 2019-11, Vol.2019 (11)
Main Authors: Mori, Yuto, Kashiwa, Kouji, Ohnishi, Akira
Format: Article
Language:English
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Summary:Abstract We investigate the sign problem in $0+1$D quantum chromodynamics at finite chemical potential by using the path optimization method. The SU(3) link variable is complexified to the SL(3,$\mathbb{C}$) 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 in applying the path optimization method to gauge theories.
ISSN:2050-3911
2050-3911
DOI:10.1093/ptep/ptz111