FRACTAL STRUCTURE OF 2d—QUANTUM GRAVITY

1988 ◽  
Vol 03 (08) ◽  
pp. 819-826 ◽  
Author(s):  
V.G. KNIZHNIK ◽  
A.M. POLYAKOV ◽  
A.B. ZAMOLODCHIKOV
Keyword(s):  
Quantum Gravity ◽  
Fractal Structure ◽  
Numerical Analyses ◽  
Complete Agreement ◽  
Random Surfaces ◽  
Anomalous Dimensions ◽  
Explicit Formulae

We resolve renormalization problems, indicated in Ref. 1 and find explicit formulae for the spectrum of anomalous dimensions in 2d—quantum gravity. Comparison with combinatorial approximation of random surfaces and its numerical analyses shows complete agreement with all known facts.

FRACTAL STRUCTURE OF TWO-DIMENSIONAL SUPERGRAVITY IN THE SUPERCONFORMAL GAUGE

1990 ◽  
Vol 05 (22) ◽  
pp. 4333-4339 ◽  
Author(s):  
S. A. APIKYAN
Keyword(s):  
Fractal Structure ◽  
Two Dimensional ◽  
Anomalous Dimensions ◽  
Arbitrary Genus

Two-dimensional induced quantum supergravity is analyzed. By the use of a superconformal gauge we derive the results of Polyakov and Zamolodchikov for the spectrum of anomalous dimensions of a conformal superfield. Their conjecture for the "string entropy exponent" γ for supergravity is proven and extended to an arbitrary genus surface.

FRACTAL STRUCTURE OF TWO DIMENSIONAL SUPERGRAVITY

1988 ◽  
Vol 03 (12) ◽  
pp. 1213-1219 ◽  
Author(s):  
A.M. POLYAKOV ◽  
A.B. ZAMOLODCHIKOV
Keyword(s):  
Fractal Structure ◽  
Two Dimensional ◽  
Anomalous Dimensions ◽  
Dimensional Gravity

We extend our formulae for anomalous dimensions of usual two dimensional gravity to the cases of supergravity.

2-D QUANTUM GRAVITY AND LIOUVILLE THEORY

1990 ◽  
Vol 05 (18) ◽  
pp. 1411-1421 ◽  
Author(s):  
ERIC D’HOKER ◽  
P.S. KURZEPA
Keyword(s):  
Invariant Measure ◽  
Quantum Gravity ◽  
First Principles ◽  
Liouville Theory ◽  
Translation Invariant ◽  
Anomalous Dimensions ◽  
Conformal Gauge ◽  
Liouville Action

We quantize the Liouville theory, or 2-D quantum gravity, and quantum supergravity in the conformal gauge. We explicitly calculate the Jacobian accompanying the change from the Weyl invariant measure to the translation invariant one. We show that it is of the same form as the original Liouville action, thus establishing a conjecture of David and Distler and Kawai. This calculation yields dressed gravitational central charges and anomalous dimensions from first principles.

scholarly journals INTERACTION HIERARCHY: STRING AND QUANTUM GRAVITY

1996 ◽  
Vol 11 (17) ◽  
pp. 1379-1396 ◽  
Author(s):  
G.K. SAVVIDY ◽  
K.G. SAVVIDY
Keyword(s):  
Partition Function ◽  
Quantum Gravity ◽  
Spin System ◽  
Scaling Limit ◽  
Functional Integral ◽  
Local Interaction ◽  
Linear Action ◽  
Random Surfaces

We have found that the functional integral for quantum gravity can be represented as a superposition of less complicated theory of random surfaces with Euler character as an action. We propose an alternative linear action A(M4) for quantum gravity. On the lattice we constructed spin system with local interaction, which has the equivalent partition function. The scaling limit is discussed.

scholarly journals Monte Carlo simulation of 2D quantum gravity as open dynamically triangulate random surfaces

1994 ◽  
Vol 320 (3-4) ◽  
pp. 227-233 ◽  
Author(s):  
E. Adi ◽  
M. Hasenbusch ◽  
M. Marcu ◽  
E. Pazy ◽  
K. Pinn ◽  
...  
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Quantum Gravity ◽  
Random Surfaces
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