Sign problem in finite density lattice QCD

被引：21

作者：

Goy, V. A. ^{[1
,2
]}

Bornyakov, V ^{[2
,3
]}

Boyda, D. ^{[2
]}

Molochkov, A. ^{[2
]}

Nakamura, A. ^{[2
,4
,5
]}

Nikolaev, A. ^{[2
]}

Zakharov, V ^{[2
,6
]}

机构：

[1] Far Eastern Fed Univ, Sch Nat Sci, Sukhanova 8, Vladivostok 690950, Russia

[2] Far Eastern Fed Univ, Sch Biomed, Sukhanova 8, Vladivostok 690950, Russia

[3] ITEP, B Cheremushkinskaya 25, Moscow 117218, Russia

[4] Osaka Univ, RCNP, Ibaraki, Osaka 5670047, Japan

[5] RIKEN, Nishina Ctr, Theoret Res Div, Wako, Saitama 3510198, Japan

[6] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Region, Russia

来源：

PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS | 2017年 / 2017卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

D O I：

10.1093/ptep/ptx018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The canonical approach, which was developed for solving the sign problem, may suffer from a new type of sign problem. In this method, the grand partition function is written as a fugacity expansion: Z(G)(mu, T) = Sigma(n) Z(C)(n, T)xi(n), where xi = exp(mu/T) is the fugacity, and Z(C)(n, T) are given as averages over a Monte Carlo update, z(n). We show that the complex phase of z(n) is proportional to n at each Monte Carlo step. Although z(n) take real positive values, the values of z(n) fluctuate rapidly when n is large, especially in the confinement phase, which gives a limit on n. We discuss a mechanism of phase emergence.

引用

页数：8

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