Stochastic quantization at finite chemical potential

被引：104
作者：
Aarts, Gert [1 ]
Stamatescu, Ion-Olimpiu [2 ,3 ]
机构：
[1] Swansea Univ, Dept Phys, Swansea, W Glam, Wales
[2] Heidelberg Univ, Inst Theoret Phys, D-6900 Heidelberg, Germany
[3] FEST, Heidelberg, Germany
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 09期
关键词：
lattice QCD; lattice quantum field theory;
D O I：
10.1088/1126-6708/2008/09/018
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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.
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页数：34
相关论文
共 41 条
[11]   COMPLEX LANGEVIN SOLUTION TO AN EFFECTIVE THEORY OF LATTICE QCD [J].
BILIC, N ;
GAUSTERER, H ;
SANIELEVICI, S .
PHYSICAL REVIEW D, 1988, 37 (12) :3684-3690
[12]   High density QCD with static quarks [J].
Blum, T ;
Hetrick, JE ;
Toussaint, D .
PHYSICAL REVIEW LETTERS, 1996, 76 (07) :1019-1022
[13]   Finite density QCD via an imaginary chemical potential [J].
D'Elia, M ;
Lombardo, MP .
PHYSICAL REVIEW D, 2003, 67 (01)
[14]   STOCHASTIC QUANTIZATION [J].
DAMGAARD, PH ;
HUFFEL, H .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1987, 152 (5-6) :227-+
[15]   The QCD phase diagram for three degenerate flavors and small baryon density [J].
de Forcrand, P ;
Philipsen, O .
NUCLEAR PHYSICS B, 2003, 673 (1-2) :170-186
[16]   The QCD phase diagram for small densities from imaginary chemical potential [J].
de Forcrand, P ;
Philipsen, O .
NUCLEAR PHYSICS B, 2002, 642 (1-2) :290-306
[17]   The chiral critical line of Nf=2+1 QCD at zero and non-zero baryon density [J].
de Forcrand, Philippe ;
Philipsen, Owe .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (01)
[18]   A model for QCD at high density and large quark mass [J].
De Pietri, Roberto ;
Feo, Alessandra ;
Seiler, Erhard ;
Stamatescu, Ion-Olimpiu .
PHYSICAL REVIEW D, 2007, 76 (11)
[19]  
EJIRI S, ARXIV08043227
[20]   The quenched limit of lattice QCD at non-zero baryon number [J].
Engels, J ;
Kaczmarek, O ;
Karsch, F ;
Laermann, E .
NUCLEAR PHYSICS B, 1999, 558 (1-2) :307-326
12345