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arXiv:0910.3772v1[hep-lat]20Oct2009 Can complex Langevin dynamics evade the sign

Summary: arXiv:0910.3772v1[hep-lat]20Oct2009
Can complex Langevin dynamics evade the sign
Gert Aarts
Physics Department, Swansea University, Swansea, United Kingdom
E-mail: g.aarts@swan.ac.uk
I answer the question in the title for the relativistic Bose gas at finite chemical potential using
numerical lattice simulations, complemented with analytical understanding.
The XXVII International Symposium on Lattice Field Theory
July 26-31, 2009
Peking University, Beijing, China
c Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. http://pos.sissa.it/
Can complex Langevin dynamics evade the sign problem? Gert Aarts
1. Introduction
As is well known, at nonzero baryon chemical potential the complexity of the fermion deter-
minant prohibits the use of importance sampling in lattice QCD. This makes the determination of
the QCD phase diagram an outstanding open problem (a summary of what is possible despite this
obstruction can be found in Ref. [1]). Stochastic quantization [2] does not rely on importance sam-
pling: the configurations that dominate in the partition function are found by integrating complex


Source: Aarts, Gert - Department of Physics, University of Wales Swansea


Collections: Physics