PHYSICAL SOLUTIONS FOR UNITARY MATRIX MODELS

被引:26
作者
CRNKOVIC, C
DOUGLAS, M
MOORE, G
机构
[1] RUTGERS STATE UNIV, DEPT PHYS & ASTRON, PISCATAWAY, NJ 08855 USA
[2] ECOLE NORM SUPER, PHYS THEOR LAB, F-75231 PARIS 05, FRANCE
关键词
D O I
10.1016/0550-3213(91)90413-R
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
We study the simplest double scaling limit of the integral over a unitary matrix, shown by Periwal and Shevitz to admit an exact solution in terms of the mKdV hierarchy. We show that there is a unique non-perturbative solution of the string equation corresponding to the true double scaling limit of the integral, which interpolates smoothly between weak and strong coupling regimes.
引用
收藏
页码:507 / 523
页数:17
相关论文
共 41 条
[1]  
Ablowitz M. J., 1981, SOLITONS INVERSE SCA
[2]   EXACT LINEARIZATION OF A PAINLEVE TRANSCENDENT [J].
ABLOWITZ, MJ ;
SEGUR, H .
PHYSICAL REVIEW LETTERS, 1977, 38 (20) :1103-1106
[3]   DISEASES OF TRIANGULATED RANDOM SURFACE MODELS, AND POSSIBLE CURES [J].
AMBJORN, J ;
DURHUUS, B ;
FROHLICH, J .
NUCLEAR PHYSICS B, 1985, 257 (03) :433-449
[4]  
AMBJORN J, 1989, DEC CARG LECT
[5]  
AWADA MA, SUPERSYMMETRIC GENER
[6]   MICROSCOPIC AND MACROSCOPIC LOOPS IN NONPERTURBATIVE 2-DIMENSIONAL GRAVITY [J].
BANKS, T ;
DOUGLAS, MR ;
SEIBERG, N ;
SHENKER, SH .
PHYSICS LETTERS B, 1990, 238 (2-4) :279-286
[7]   GENUS-ONE PATH INTEGRAL IN 2-DIMENSIONAL QUANTUM-GRAVITY [J].
BERSHADSKY, M ;
KLEBANOV, IR .
PHYSICAL REVIEW LETTERS, 1990, 65 (25) :3088-3091
[8]  
BOWICK M, SU4238462 SYR PREPR
[9]   A NONPERTURBATIVE AMBIGUITY FREE SOLUTION OF A STRING MODEL [J].
BREZIN, E ;
MARINARI, E ;
PARISI, G .
PHYSICS LETTERS B, 1990, 242 (01) :35-38
[10]   EXACTLY SOLVABLE FIELD-THEORIES OF CLOSED STRINGS [J].
BREZIN, E ;
KAZAKOV, VA .
PHYSICS LETTERS B, 1990, 236 (02) :144-150