Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-10-12
Phys.Rev.Lett.102:131601,2009
Physics
High Energy Physics
High Energy Physics - Lattice
4 pages, 4 eps figures, v2: minor changes, outlook expanded, references added, to appear in PRL
Scientific paper
10.1103/PhysRevLett.102.131601
A nonperturbative study of field theories with a complex action, such as QCD at finite baryon density, is difficult due to the sign problem. We show that the relativistic Bose gas at finite chemical potential has a sign and `Silver Blaze' problem, similar to QCD. We then apply stochastic quantization and complex Langevin dynamics to study this theory with nonperturbative lattice simulations. Independence of chemical potential at small and a transition to a condensed phase at large chemical potential are found. Lattices of size N^4, with N=4,6,8,10, are used. We show that the sign problem is severe, however, we find that it has no negative effect using this approach. This improves the prospects of applying stochastic quantization to QCD at nonzero density.
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