scholarly journals Random Surfaces and Liouville Quantum Gravity

2020 ◽  
Vol 67 (04) ◽  
pp. 1
Author(s):  
Ewain Gwynne
Keyword(s):  
Quantum Gravity ◽  
Random Surfaces

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.

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.

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

scholarly journals A GENERALIZED MODEL FOR TWO-DIMENSIONAL QUANTUM GRAVITY AND DYNAMICS OF RANDOM SURFACES FOR d>1

1994 ◽  
Vol 09 (22) ◽  
pp. 2009-2018 ◽  
Author(s):  
M. MARTELLINI ◽  
M. SPREAFICO ◽  
K. YOSHIDA
Keyword(s):  
Quantum Gravity ◽  
Effective Field Theory ◽  
Continuum Model ◽  
Central Charge ◽  
Flat Space ◽  
Effective Field ◽  
Two Dimensional ◽  
Large Area ◽  
Random Surfaces ◽  
Area Expansion

The possible interpretations of a new continuum model for the two-dimensional quantum gravity for d>1 (d=matter central charge), obtained by carefully treating both diffeomorphism and Weyl symmetries, are discussed. In particular we note that an effective field theory is achieved in low energy (large area) expansion, that may represent smooth self-avoiding random surfaces embedded in a d-dimensional flat space-time for arbitrary d. Moreover the values of some critical exponents are computed, that are in agreement with some recent numerical results.

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