Random Surfaces and Quantum Gravity

By: Orlando Alvarez (Editor)

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Methods on the random triangulations of surfaces provide a description of non-critical string theory or equivalently of the coupling of matter fields to quantum gravity in two dimensions. Among the papers presented at the Cargese meeting are detailed reviews that make the volume useful for the non-s"

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2D Gravity and Non Perturbative Effects
Diffusion Equation, Continuum Limit and Universality in 2D Quantum Gravity	p. 1
On Triangles and Squares	p. 11
Non-Perturbative Effects in 2D Gravity and Matrix Models	p. 21
Integrable Models of 2D Quantum Gravity	p. 35
Topological Strings and Loop Equations	p. 53
The Two-Matrix Model	p. 77
Action Principle and Large Order Behavior of Non-Perturbative Gravity	p. 85
W-Geometry	p. 111
Strings Embedded in Dynkin Diagrams	p. 135
Phase Transitions in One-Matrix Models	p. 151
Matrix Models of 2D Gravity and Isomonodromic Deformation	p. 157
The Strength of Nonperturbative Effects in String Theory	p. 191
Approximating the Critical String Measure Using Dynamically Triangulated Surfaces	p. 201
D = 1 Strings and String Field Theory
Matrix Models, String Field Theory and Topology	p. 217
Multipoint Correlation Functions in One-Dimensional String Theory	p. 237
The Penner Model and D = 1 String Theory	p. 243
Non-Perturbative String Theory	p. 255
Bosonic Strings and String Field Theories in One-Dimensional Target Space	p. 269
A Few Remarks on Low Dimensional String Theory	p. 307
Excitations and Interactions in a One-Dimensional String Theory	p. 317
Liouville Theory and D ] 1
Random Surfaces in Dimensions Larger Than One	p. 327
On Gauge Invariances in Stochastic Quantization	p. 337
The Quantum Group Structure of Quantum Gravity in Two Dimensions	p. 347
Notes on Quantum Liouville Theory and Quantum Gravity	p. 363
Index	p. 397
Table of Contents provided by Blackwell. All Rights Reserved.

Random Surfaces and Quantum Gravity

At a Glance

Hardcover

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Defective items

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