LOW-TEMPERATURE EXPANSION OF MATRIX MODELS

被引:18
作者
WEXLER, M
机构
[1] Department of Physics, Princeton University, Princeton
关键词
D O I
10.1016/0370-2693(93)90159-F
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We show how to expand the free energy of a matrix model coupled to arbitrary matter in powers of the matter coupling constant. Concentrating on nu uncoupled Ising models - which have central charge 1/2 nu- we work out the expansion to sixth order for nu=1,2, and 3. Analyzing the series by the ratio method, we exhibit the spin-ordering phase transition. We discuss the limit nu-->infinity, which is especially clear in the low temperature expansion; we prove that in this limit the dependence of the model on nu becomes trivial.
引用
收藏
页码:67 / 73
页数:7
相关论文
共 23 条
  • [1] ALVAREZGAUME L, 1992, CERNTH660092 PERPR
  • [2] THE APPEARANCE OF CRITICAL DIMENSIONS IN REGULATED STRING THEORIES
    AMBJORN, J
    DURHUUS, B
    FROHLICH, J
    ORLAND, P
    [J]. NUCLEAR PHYSICS B, 1986, 270 (03) : 457 - 482
  • [3] DISEASES OF TRIANGULATED RANDOM SURFACE MODELS, AND POSSIBLE CURES
    AMBJORN, J
    DURHUUS, B
    FROHLICH, J
    [J]. NUCLEAR PHYSICS B, 1985, 257 (03) : 433 - 449
  • [4] ANALYTICAL AND NUMERICAL STUDY OF A MODEL OF DYNAMICALLY TRIANGULATED RANDOM SURFACES
    BOULATOV, DV
    KAZAKOV, VA
    KOSTOV, IK
    MIGDAL, AA
    [J]. NUCLEAR PHYSICS B, 1986, 275 (04) : 641 - 686
  • [5] THE ISING-MODEL ON A RANDOM PLANAR LATTICE - THE STRUCTURE OF THE PHASE-TRANSITION AND THE EXACT CRITICAL EXPONENTS
    BOULATOV, DV
    KAZAKOV, VA
    [J]. PHYSICS LETTERS B, 1987, 186 (3-4) : 379 - 384
  • [6] RENORMALIZATION-GROUP APPROACH TO MATRIX MODELS
    BREZIN, E
    ZINNJUSTIN, J
    [J]. PHYSICS LETTERS B, 1992, 288 (1-2) : 54 - 58
  • [7] PLANAR DIAGRAMS
    BREZIN, E
    ITZYKSON, C
    PARISI, G
    ZUBER, JB
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 59 (01) : 35 - 51
  • [8] EXACTLY SOLVABLE FIELD-THEORIES OF CLOSED STRINGS
    BREZIN, E
    KAZAKOV, VA
    [J]. PHYSICS LETTERS B, 1990, 236 (02) : 144 - 150
  • [9] A NAIVE MATRIX-MODEL APPROACH TO 2D QUANTUM-GRAVITY COUPLED TO MATTER OF ARBITRARY CENTRAL CHARGE
    BREZIN, E
    HIKAMI, S
    [J]. PHYSICS LETTERS B, 1992, 283 (3-4) : 203 - 208
  • [10] BREZIN E, 1992, PHYS LETT B, V295, P209