Stochastic quantization at finite chemical potential

被引：103

作者：

Aarts, Gert ^{[1
]}

Stamatescu, Ion-Olimpiu ^{[2
,3
]}

机构：

[1] Swansea Univ, Dept Phys, Swansea, W Glam, Wales

[2] Heidelberg Univ, Inst Theoret Phys, D-6900 Heidelberg, Germany

[3] FEST, Heidelberg, Germany

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 09期

关键词：

lattice QCD; lattice quantum field theory;

D O I：

10.1088/1126-6708/2008/09/018

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

A nonperturbative lattice study of QCD at finite chemical potential is complicated due to the complex fermion determinant and the sign problem. Here we apply the method of stochastic quantization and complex Langevin dynamics to this problem. We present results for U(1) and SU(3) one link models and QCD at finite chemical potential using the hopping expansion. The phase of the determinant is studied in detail. Even in the region where the sign problem is severe, we find excellent agreement between the Langevin results and exact expressions, if available. We give a partial understanding of this in terms of classical flow diagrams and eigenvalues of the Fokker-Planck equation.

引用

页数：34

共 41 条

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