 
Summary: arXiv:0910.3772v1[heplat]20Oct2009
Can complex Langevin dynamics evade the sign
problem?
Gert Aarts
Physics Department, Swansea University, Swansea, United Kingdom
Email: 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 2631, 2009
Peking University, Beijing, China
Speaker.
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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
