Quantum Strings and Random Surfaces

2018 ◽  
pp. 151-252
Author(s):  
A.M. Polyakov
Keyword(s):  
Random Surfaces

Fractal dimensions of dynamically triangulated random surfaces

1992 ◽  
Vol 2 (12) ◽  
pp. 2181-2190 ◽  
Author(s):  
Christian Münkel ◽  
Dieter W. Heermann
Keyword(s):  
Fractal Dimensions ◽  
Random Surfaces

scholarly journals Universality of hypercubic random surfaces

1997 ◽  
Vol 409 (1-4) ◽  
pp. 173-176
Author(s):  
S. Bilke ◽  
Z. Burda ◽  
B. Petersson
Keyword(s):  
Random Surfaces

scholarly journals THE CRITICAL POINT OF UNORIENTED RANDOM SURFACES WITH A NONEVEN POTENTIAL

1993 ◽  
Vol 08 (06) ◽  
pp. 1139-1152
Author(s):  
M.A. MARTÍN-DELGADO
Keyword(s):  
Free Energy ◽  
Partition Function ◽  
Critical Point ◽  
Discrete Model ◽  
Recursion Relation ◽  
Scaling Limit ◽  
Random Surfaces ◽  
Matrix Ensemble ◽  
Quartic Interaction ◽  
Double Scaling Limit

The discrete model of the real symmetric one-matrix ensemble is analyzed with a cubic interaction. The partition function is found to satisfy a recursion relation that solves the model. The double scaling-limit of the recursion relation leads to a Miura transformation relating the contributions to the free energy coming from oriented and unoriented random surfaces. This transformation is the same kind as found with a quartic interaction.

A comparative study for selecting and using simulation methods of Gaussian random surfaces

2021 ◽  
pp. 107347
Author(s):  
Yuechang Wang ◽  
Abdullah Azam ◽  
Mark C.T Wilson ◽  
Anne Neville ◽  
Ardian Morina
Keyword(s):  
Comparative Study ◽  
Simulation Methods ◽  
Random Surfaces
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