Adaptive stepsize and instabilities in complex Langevin dynamics

被引：81

作者：

Aarts, Gert ^{[1
]}

James, Frank A. ^{[1
]}

Seiler, Erhard ^{[2
]}

Stamatescu, Ion-Olimpiu ^{[3
,4
]}

机构：

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

[2] Max Planck Inst Phys & Astrophys, Werner Heisenberg Inst, D-80805 Munich, Germany

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

[4] FEST, Heidelberg, Germany

来源：

PHYSICS LETTERS B | 2010年 / 687卷 / 2-3期

关键词：

Lattice gauge theory; Stochastic quantization; Sign problem; STOCHASTIC QUANTIZATION; SIMULATIONS; EQUATION;

D O I：

10.1016/j.physletb.2010.03.012

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Stochastic quantization offers the opportunity to simulate field theories with a complex action. In some theories unstable trajectories are prevalent when a constant stepsize is employed. We construct algorithms for generating an adaptive stepsize in complex Langevin simulations and find that unstable trajectories are completely eliminated. To illustrate the generality of the approach, we apply it to the three-dimensional XY model at nonzero chemical potential and the heavy dense limit of QCD. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：154 / 159

页数：6

共 20 条

[1] Stochastic quantization at finite chemical potential [J].

Aarts, Gert ;

Stamatescu, Ion-Olimpiu .

JOURNAL OF HIGH ENERGY PHYSICS, 2008, (09)

[2] Complex Langevin dynamics at finite chemical potential: mean field analysis in the relativistic Bose gas [J].

Aarts, Gert .

JOURNAL OF HIGH ENERGY PHYSICS, 2009, (05)

[3] Can Stochastic Quantization Evade the Sign Problem? The Relativistic Bose Gas at Finite Chemical Potential [J].

Aarts, Gert .

PHYSICAL REVIEW LETTERS, 2009, 102 (13)

[4] NUMERICAL PROBLEMS IN APPLYING THE LANGEVIN EQUATION TO COMPLEX EFFECTIVE ACTIONS [J].

AMBJORN, J ;

YANG, SK .

PHYSICS LETTERS B, 1985, 165 (1-3) :140-146

[5] THE COMPLEX LANGEVIN EQUATION AND MONTE-CARLO SIMULATIONS OF ACTIONS WITH STATIC CHARGES [J].

AMBJORN, J ;

FLENSBURG, M ;

PETERSON, C .

NUCLEAR PHYSICS B, 1986, 275 (03) :375-397

[6]

[Anonymous], ARXIV09123360HEPLAT

[7]

[Anonymous], HEPLAT9602008

[8] Simulating nonequilibrium quantum fields with stochastic quantization techniques [J].

Berges, J ;

Stamatescu, IO .

PHYSICAL REVIEW LETTERS, 2005, 95 (20)

[9] Real-time gauge theory simulations from stochastic quantization with optimized updating [J].

Berges, Jueren ;

Sexty, Denes .

NUCLEAR PHYSICS B, 2008, 799 (03) :306-329

[10] Critical behavior of the three-dimensional XY universality class [J].

Campostrini, M ;

Hasenbusch, M ;

Pelissetto, A ;

Rossi, P ;

Vicari, E .

PHYSICAL REVIEW B, 2001, 63 (21)

← 1 2 →