Publication : t93/133

Random matrices and two-dimensional gravity

David F. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)

Abstract:
A brief introduction to some problems in quantum gravity and string theories is given, in order to explain the recent interest for random two dimensional lattices and two-dimensional gravity. The connection between these problems, random matrix models and statistical mechanics of -- and on -- random lattices is discussed. Some properties of the critical points for the matrix models and the associated ``double scaling limit'' are studied, and their consequences for the non-perturbative behavior of string theories are outlined.

Année de publication : 1994
Chapitre de livre : Fundamental Problems in Statistical Mechanics, VIII
Editeur : Van Beijeren H. & Ernst M. H.
Maison d'édition : Elsevier, Amsterdam, 1994
Ecole - Cours : Eighth International Summer School on Fundamental Problems in Statistical Mechanics ; Altenberg, Germany ; 1993-06-28 / 1993-07-10
Langue : Anglais
NB : ISBN-13: 978-0444815910
Editeurs : Ernst M.H., Van Beijeren H.

Fichier(s) à télécharger :

publi.pdf