Friday, December 21, 2012

1212.5231 (Gert Aarts et al.)

Stability of complex Langevin dynamics in effective models    [PDF]

Gert Aarts, Frank A. James, Jan M. Pawlowski, Erhard Seiler, Denes Sexty, Ion-Olimpiu Stamatescu
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.
View original: http://arxiv.org/abs/1212.5231

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