Effective potential for complex Langevin equations

被引：16

作者：

Guralnik, Gerald ^{[1
]}

Pehlevan, Cengiz ^{[1
]}

机构：

[1] Brown Univ, Dept Phys, Providence, RI 02912 USA

来源：

NUCLEAR PHYSICS B | 2009年 / 822卷 / 03期

关键词：

Complex Langevin equation; Schwinger-Dyson equations; PATH-INTEGRAL FORMULATION; STOCHASTIC QUANTIZATION;

D O I：

10.1016/j.nuclphysb.2009.06.016

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：

We construct an effective potential for the complex Langevin equation on a lattice. We show that the minimum of this effective potential gives the space-time and Langevin time average of the complex Langevin field. The loop expansion of the effective potential is matched with the derivative expansion of the associated Schwinger-Dyson equation to predict the stationary distribution to which the complex Langevin equation converges. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：349 / 366

页数：18

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