Subsets of configurations and canonical partition functions

被引:13
作者
Bloch, Jacques [1 ]
Bruckmann, Falk [1 ]
Kieburg, Mario [2 ]
Splittorff, K. [3 ]
Verbaarschot, J. J. M. [2 ]
机构
[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
[2] SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA
[3] Univ Copenhagen, Discovery Ctr, Niels Bohr Inst, DK-2100 Copenhagen, Denmark
来源
PHYSICAL REVIEW D | 2013年 / 87卷 / 03期
关键词
QCD DIRAC OPERATOR; MATRIX; DENSITY;
D O I
10.1103/PhysRevD.87.034510
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We explain the physical nature of the subset solution to the sign problem in chiral random matrix theory: the subset sum over configurations is shown to project out the canonical determinant with zero quark charge from a given configuration. As the grand canonical chiral random matrix partition function is independent of the chemical potential, the zero-quark-charge sector provides the full result. DOI: 10.1103/PhysRevD.87.034510
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页数:5
相关论文
共 24 条
[1]   Matrix models and QCD with chemical potential [J].
Akeman, G. .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2007, 22 (06) :1077-1122
[2]   QCD at nonzero density and canonical partition functions with Wilson fermions [J].
Alexandru, Andrei ;
Wenger, Urs .
PHYSICAL REVIEW D, 2011, 83 (03)
[3]   CHIRAL SYMMETRY-BREAKING IN CONFINING THEORIES [J].
BANKS, T ;
CASHER, A .
NUCLEAR PHYSICS B, 1980, 169 (1-2) :103-125
[4]   Equivalence of QCD in the ε-regime and chiral random matrix theory with or without chemical potential [J].
Basile, F. ;
Akernann, G. .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (12)
[5]   Canonical fermion determinants in lattice QCD - Numerical evaluation and properties [J].
Bilgici, Erek ;
Danzer, Julia ;
Gattringer, Christof ;
Lang, C. B. ;
Liptak, Ludovit .
PHYSICS LETTERS B, 2011, 697 (01) :85-89
[6]   A subset solution to the sign problem in random matrix simulations [J].
Bloch, Jacques .
PHYSICAL REVIEW D, 2012, 86 (07)
[7]   Evading the Sign Problem in Random Matrix Simulations [J].
Bloch, Jacques .
PHYSICAL REVIEW LETTERS, 2011, 107 (13)
[8]   Properties of canonical determinants and a test of fugacity expansion for finite density lattice QCD withWilson fermions [J].
Danzer, Julia ;
Gattringer, Christof .
PHYSICAL REVIEW D, 2012, 86 (01)
[9]  
de Forcrand P., 2009, P SCI LAT2009, VLAT2009, P010
[10]   Noise, Sign Problems, and Statistics [J].
Endres, Michael G. ;
Kaplan, David B. ;
Lee, Jong-Wan ;
Nicholson, Amy N. .
PHYSICAL REVIEW LETTERS, 2011, 107 (20)