Nonuniversality of compact support probability distributions in random matrix theory

被引:14
作者
Akemann, G
Cicuta, GM
Molinari, L
Vernizzi, G
机构
[1] Max Planck Inst Kernphys, D-69117 Heidelberg, Germany
[2] Ist Nazl Fis Nucl, Grp Collegato Parma, I-43100 Parma, Italy
[3] Dipartimento Fis, I-43100 Parma, Italy
[4] Dipartimento Fis, I-20133 Milan, Italy
[5] Ist Nazl Fis Nucl, I-20133 Milan, Italy
来源
PHYSICAL REVIEW E | 1999年 / 60卷 / 05期
关键词
D O I
10.1103/PhysRevE.60.5287
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The two-point resolvent is calculated in the large-n limit for the generalized fixed and bounded trace ensembles. It is shown to disagree with that of the canonical Gaussian ensemble by a nonuniversal part that is given explicitly for all monomial potentials V(M)= M-2p. Moreover, we prove that for the generalized fixed and bounded trace ensemble all k-point resolvents agree in the large-n limit, despite their nonuniversality. [S1063-651X(99)10411-2].
引用
收藏
页码:5287 / 5292
页数:6
相关论文
共 12 条
[1]  
Abramowitz M., 1970, HDB MATH FUNCTIONS
[2]   New universal spectral correlators [J].
Akemann, G ;
Ambjorn, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (22) :L555-L560
[3]  
AKERMANN G, 1999, PHYS REV E, V59, P1489
[4]   MATRIX MODEL-CALCULATIONS BEYOND THE SPHERICAL LIMIT [J].
AMBJORN, J ;
CHEKHOV, L ;
KRISTJANSEN, CF ;
MAKEENKO, Y .
NUCLEAR PHYSICS B, 1993, 404 (1-2) :127-172
[5]   MULTILOOP CORRELATORS FOR 2-DIMENSIONAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J ;
MAKEENKO, YM .
PHYSICS LETTERS B, 1990, 251 (04) :517-524
[6]   UNIVERSALITY OF THE CORRELATIONS BETWEEN EIGENVALUES OF LARGE RANDOM MATRICES [J].
BREZIN, E ;
ZEE, A .
NUCLEAR PHYSICS B, 1993, 402 (03) :613-627
[7]  
BRONK BV, 1964, THESIS PRINCETON U
[8]   Correlations between eigenvalues of large random matrices with independent entries [J].
DAnna, J ;
Zee, A .
PHYSICAL REVIEW E, 1996, 53 (02) :1399-1410
[9]   NEW CRITICAL-BEHAVIOR IN D=0 LARGE-N MATRIX MODELS [J].
DAS, SR ;
DHAR, A ;
SENGUPTA, AM ;
WADIA, SR .
MODERN PHYSICS LETTERS A, 1990, 5 (13) :1041-1056
[10]   ON THE 1/N CORRECTIONS TO THE GREEN-FUNCTIONS OF RANDOM MATRICES WITH INDEPENDENT ENTRIES [J].
KHORUNZHY, A ;
KHORUZHENKO, B ;
PASTUR, L .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (01) :L31-L35