SPECTRAL SUM-RULES AND FINITE-VOLUME PARTITION-FUNCTION IN GAUGE-THEORIES WITH REAL AND PSEUDOREAL FERMIONS

被引:95
作者
SMILGA, A [1 ]
VERBAARSCHOT, JJM [1 ]
机构
[1] SUNY STONY BROOK,DEPT PHYS,STONY BROOK,NY 11794
来源
PHYSICAL REVIEW D | 1995年 / 51卷 / 02期
关键词
D O I
10.1103/PhysRevD.51.829
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Based on the chiral-symmetry-breaking pattern and the corresponding low-energy effective Lagrangian, we determine the fermion mass dependence of the partition function and derive sum rules for eigenvalues of the QCD Dirac operator in finite Euclidean volume. Results are given for Nc=2 and for the Yang-Mills theory coupled to several light adjoint Majorana fermions. They coincide with those derived earlier in the framework of random matrix theory. © 1995 The American Physical Society.
引用
收藏
页码:829 / 837
页数:9
相关论文
共 36 条
[1]  
[Anonymous], 1967, RANDOM MATRICES
[2]  
BOHIGAS O, 1984, LECT NOTES PHYS, V209, P1
[3]   CHARACTERIZATION OF CHAOTIC QUANTUM SPECTRA AND UNIVERSALITY OF LEVEL FLUCTUATION LAWS [J].
BOHIGAS, O ;
GIANNONI, MJ ;
SCHMIT, C .
PHYSICAL REVIEW LETTERS, 1984, 52 (01) :1-4
[4]   UNIVERSALITY OF THE CORRELATIONS BETWEEN EIGENVALUES OF LARGE RANDOM MATRICES [J].
BREZIN, E ;
ZEE, A .
NUCLEAR PHYSICS B, 1993, 402 (03) :613-627
[5]   CHIRAL-SYMMETRY BREAKDOWN IN LARGE-N CHROMODYNAMICS [J].
COLEMAN, S ;
WITTEN, E .
PHYSICAL REVIEW LETTERS, 1980, 45 (02) :100-102
[6]  
DIAKONOV D, 1993, QUARK CLUSTER DYNAMI
[7]   INSTANTON-BASED VACUUM FROM THE FEYNMAN VARIATIONAL PRINCIPLE [J].
DYAKONOV, DI ;
PETROV, VY .
NUCLEAR PHYSICS B, 1984, 245 (02) :259-292
[8]   TECHNICOLORED SIGNATURES [J].
DIMOPOULOS, S .
NUCLEAR PHYSICS B, 1980, 168 (01) :69-92
[9]  
DYSON FJ, 1962, J MATH PHYS, V3, P140, DOI 10.1063/1.1703773
[10]   THERMODYNAMICS OF CHIRAL SYMMETRY [J].
GASSER, J ;
LEUTWYLER, H .
PHYSICS LETTERS B, 1987, 188 (04) :477-481