TWO-DIMENSIONAL QUANTUM GRAVITY, MATRIX MODELS AND STRING THEORY
1993 ◽
Vol 08
(07)
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pp. 1185-1244
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We review some results of the recent progress in understanding two-dimensional quantum gravity and low-dimensional string theories based on the lattice approach. The possibility to solve the lattice models exactly comes from their equivalence to large N matrix models. We describe various matrix models and their continuum limits, and discuss in some detail the phase structure of Hermitian one-matrix models. For the one-dimensional matrix model we discuss its field theoretic formulation through a collective field method and summarize some perturbative results. We compare the results obtained from matrix models to the results in the continuum approach to string theory.
1991 ◽
Vol 06
(15)
◽
pp. 2743-2754
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Keyword(s):
2017 ◽
Vol 32
(31)
◽
pp. 1750180
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Keyword(s):
1992 ◽
Vol 07
(16)
◽
pp. 1419-1425
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Keyword(s):