A NONPERTURBATIVE TREATMENT OF 2-DIMENSIONAL QUANTUM-GRAVITY

被引：391

作者：

GROSS, DJ

MIGDAL, AA

机构：

[1] Joseph Henry Laboratories, Princeton University, Princeton

来源：

NUCLEAR PHYSICS B | 1990年 / 340卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0550-3213(90)90450-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 propose a nonperturbative definition of two-dimensional quantum gravity, based on a double scaling limit of the random matrix model. We develop an operator formalism for utilizing the method of orthogonal polynomials that allows us to solve the matrix models to all orders in the genus expansion. Using this formalism we derive an exact differential equation for the partition function of two-dimensional gravity as a function of the string coupling constant that governs the genus expansion of two-dimensional surfaces, and discuss its properties and consequences. We construct and discuss the correlation functions of an infinite set of pointlike and loop operators to all orders in the genus expansion. © 1990.

引用

页码：333 / 365

页数：33

共 43 条

[1] THE APPEARANCE OF CRITICAL DIMENSIONS IN REGULATED STRING THEORIES [J].