REGULARIZATION OF ONE-MATRIX MODELS

被引:59
作者
JURKIEWICZ, J [1 ]
机构
[1] NIELS BOHR INST,DK-2100 COPENHAGEN 0,DENMARK
关键词
D O I
10.1016/0370-2693(90)90130-X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We analyze the critical properties of the one-matrix model near its critical point, corresponding to the continuum limit. We consider the model with quartic and six-order interactions. This last can be viewed as a regularization of the model. We show that the regularized theory develops a phase structure in which it is impossible to reach the standard continuum limit. © 1990.
引用
收藏
页码:178 / 184
页数:7
相关论文
共 10 条
[1]   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
[2]  
Bessis D., 1980, ADV APPL MATH, V1, P109, DOI 10.1016/0196-8858(80)90008-1
[3]   PLANAR DIAGRAMS [J].
BREZIN, E ;
ITZYKSON, C ;
PARISI, G ;
ZUBER, JB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) :35-51
[4]   EXACTLY SOLVABLE FIELD-THEORIES OF CLOSED STRINGS [J].
BREZIN, E ;
KAZAKOV, VA .
PHYSICS LETTERS B, 1990, 236 (02) :144-150
[5]  
CICUTA GM, 1990, BARITH9061 PREPR
[6]   STRINGS IN LESS THAN ONE DIMENSION [J].
DOUGLAS, MR ;
SHENKER, SH .
NUCLEAR PHYSICS B, 1990, 335 (03) :635-654
[7]  
GROSS DJ, 1989, PUPT1148 PRINC PREPR
[8]  
GROSS DJ, 1989, PUPT1159 PRINC PREPR
[9]   PLANAR APPROXIMATION .2. [J].
ITZYKSON, C ;
ZUBER, JB .
JOURNAL OF MATHEMATICAL PHYSICS, 1980, 21 (03) :411-421
[10]  
Muskhelishvili N.I., 1953, SINGULAR INTEGRAL EQ