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Introduction to Nonperturbative 2D Quantum Gravity
Author(s) -
Lozano Y.,
Mañes J. L.
Publication year - 1993
Publication title -
fortschritte der physik/progress of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.2190410103
Subject(s) - quantum gravity , physics , quantum , theoretical physics , quantum mechanics
We give an elementary introduction to the theory of matrix models, as applied to the study of 2 D quantum gravity. Starting from the sum over surfaces, we explain carefully the steps leading to the non‐perturbative solution: discretization, duality, diagram‐counting techniques, 1/ N expansion, double‐scaling limit, etc. Many examples are worked out in detail, and a pedagogical discussion of the concepts of universality and the non‐perturbative ambiguity is presented.