Stability of complex Langevin dynamics in effective models

被引:36
作者
Aarts, Gert [1 ]
James, Frank A. [2 ]
Pawlowski, Jan M. [3 ]
Seiler, Erhard [4 ]
Sexty, Denes [3 ]
Stamatescu, Ion-Olimpiu [3 ,5 ]
机构
[1] Swansea Univ, Coll Sci, Dept Phys, Swansea, W Glam, Wales
[2] Univ Regensburg, Inst Theoret Phys, D-93053 Regensburg, Germany
[3] Heidelberg Univ, Inst Theoret Phys, Heidelberg, Germany
[4] Werner Heisenberg Inst, Max Planck Inst Phys, Munich, Germany
[5] FEST, Heidelberg, Germany
关键词
Lattice Quantum Field Theory; Quark-Gluon Plasma; FLUX REPRESENTATION; SPIN MODEL; SIMULATION; EQUATION; PROBABILITIES; SYSTEMS; QCD;
D O I
10.1007/JHEP03(2013)073
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
The sign problem at nonzero chemical potential prohibits the use of importance sampling in lattice simulations. Since complex Langevin dynamics does not rely on importance sampling, it provides a potential solution. Recently it was shown that complex Langevin dynamics fails in the disordered phase in the case of the three-dimensional XY model, while it appears to work in the entire phase diagram in the case of the three-dimensional SU(3) spin model. Here we analyse this difference and argue that it is due to the presence of the nontrivial Haar measure in the SU(3) case, which has a stabilizing effect on the complexified dynamics. The freedom to modify and stabilize the complex Langevin process is discussed in some detail.
引用
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页数:29
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