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Journal of High Energy Physics Volume 2008 JHEP09(2008) Create an alert RSS this journal

Gert Aarts and Ion-Olimpiu Stamatescu JHEP09(2008)018 doi:10.1088/1126-6708/2008/09/018

Stochastic quantization at finite chemical potential

Gert Aarts1 and Ion-Olimpiu Stamatescu2,3

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Abstract References Cited By
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

Lattice QCD

Lattice Quantum Field Theory

 

E-print Number: 0807.1597

Cited: by |

Refers: to

PACS

12.38.Gc Lattice QCD calculations

12.40.Ee Statistical models

11.30.Ly Other internal and higher symmetries

12.38.Lg Other nonperturbative calculations

Subjects

Particle physics and field theory

Dates

Issue 09 (September 2008)

Received 31 July 2008, accepted for publication 22 August 2008

Published 3 September 2008



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