SIMULATIONS WITH LATTICE QCD AT FINITE DENSITY

被引:23
作者
BARBOUR, IM
SABEUR, ZA
机构
[1] Department of Physics and Astronomy, University of Glasgow, Glasgow
关键词
D O I
10.1016/0550-3213(90)90578-2
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 method proposed by Barbour, Davies and Sabeur is used to expand the grand canonical partition function for QCD on a finite lattice in terms of the canonical partition functions for a fixed number of fermions. We show how the lattice action corresponding to the canonical partition function for a given fermion number can be obtained. The method is not unique to QCD and can be applied to other theories with complex action. This expansion of the GCPF is used to study QCD at finite density. The results of preliminary numerical simulations performed on a 44 lattice are described. Evidence is found for the positivity and continuity of the canonical partition functions as a function of the fermion number. The number density shows a clear signal of a transition at a density (in lattice units) of about 0.35 at β = 4.9 and small quark mass. © 1990.
引用
收藏
页码:269 / 278
页数:10
相关论文
共 9 条
[1]  
BARBOUR I, 1986, NUCL PHYS B, V75, P296
[2]   LATTICE QCD AT FINITE DENSITY [J].
BARBOUR, IM ;
DAVIES, CTH ;
SABEUR, Z .
PHYSICS LETTERS B, 1988, 215 (03) :567-572
[3]   BINDING OF HOLES IN THE HUBBARD-MODEL [J].
DAGOTTO, E ;
MOREO, A ;
SUGAR, RL ;
TOUSSAINT, D .
PHYSICAL REVIEW B, 1990, 41 (01) :811-814
[4]   THE FERMION PROPAGATOR MATRIX IN LATTICE QCD [J].
GIBBS, PE .
PHYSICS LETTERS B, 1986, 172 (01) :53-61
[5]   LATTICE QCD AT FINITE DENSITY [J].
GOCKSCH, A .
PHYSICAL REVIEW D, 1988, 37 (04) :1014-1019
[6]   CHEMICAL-POTENTIAL ON THE LATTICE [J].
HASENFRATZ, P ;
KARSCH, F .
PHYSICS LETTERS B, 1983, 125 (04) :308-310
[7]   STRONG COUPLING QCD AT FINITE BARYON-NUMBER DENSITY [J].
KARSCH, F ;
MUTTER, KH .
NUCLEAR PHYSICS B, 1989, 313 (03) :541-559
[8]  
TOUSSAINT D, LATTICE 89 CAPRI
[9]  
VLADIKAS A, 1988, NUCL PHYS B S, V4