Quantum gravity and random surfaces

We review recent progress in lattice quantum gravity and random surfaces with a particular emphasis given to discussion of two dimensional gravity, dynamical triangulation, matrix models and Regge calculus. We also discuss the possibility of constructing the theory of quantum gravity as an ordinary field theory in four dimensions.

talk
quantum gravity
random surface
lattice field theory: triangulation
matrix model
dimension: 2
dimension: 4
space-time
fractal
topology

References(75)

Figures(0)

Fractal Structure of 2D Quantum Gravity

V.G. Knizhnik
(
- Landau Inst.
)
,
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(
- Landau Inst.
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A.B. Zamolodchikov
(
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Jan Ambjorn
(
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)
,
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(
- Copenhagen U.
)
,
J. Frohlich
(
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)

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Correlation functions in Liouville theory

M. Goulian
(
- UC, Santa Barbara
)
,
Miao Li
(
- UC, Santa Barbara
)

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(
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)

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Correlation functions of c=1 matter coupled to two-dimensional gravity

Norisuke Sakai
(
- Tokyo Inst. Tech.
)
,
Yoshiaki Tanii
(
- Saitama U.
)

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(
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,
D. Kutasov
(
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V.S. Dotsenko
(
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)

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Correlation functions and OPE in two-dimensional quantum gravity

Yoshiaki Tanii
(
- Saitama U.
)
,
Shun-ichi Yamaguchi
(
- Saitama U.
)

- Mod.Phys.Lett.A 6 (1991) 2271-2279,
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T. Regge
(
- Princeton U.
)

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