Stochastic quantization at finite chemical potential
High Energy Physics - Lattice
2009-02-09 v2 Other Condensed Matter
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
A nonperturbative lattice study of QCD at finite chemical potential is complicated due to the complex fermion determinant and the sign problem. Here we apply the method of stochastic quantization and complex Langevin dynamics to this problem. We present results for U(1) and SU(3) one link models and QCD at finite chemical potential using the hopping expansion. The phase of the determinant is studied in detail. Even in the region where the sign problem is severe, we find excellent agreement between the Langevin results and exact expressions, if available. We give a partial understanding of this in terms of classical flow diagrams and eigenvalues of the Fokker-Planck equation.
Keywords
Cite
@article{arxiv.0807.1597,
title = {Stochastic quantization at finite chemical potential},
author = {Gert Aarts and Ion-Olimpiu Stamatescu},
journal= {arXiv preprint arXiv:0807.1597},
year = {2009}
}
Comments
37 pages, many eps figures; references added, to appear in JHEP