scholarly journals Two-dimensional nonlinear σ model on a random lattice

1995 ◽  
Vol 52 (11) ◽  
pp. 6481-6492 ◽  
Author(s):  
B. Allés ◽  
M. Beccaria
Keyword(s):  
Two Dimensional ◽  
Random Lattice

scholarly journals Interface mapping in two-dimensional random lattice models

2010 ◽  
Vol 2010 (08) ◽  
pp. P08027
Author(s):  
M Karsai ◽  
J-Ch Anglès d’Auriac ◽  
F Iglói
Keyword(s):  
Lattice Models ◽  
Two Dimensional ◽  
Random Lattice

O(n) VECTOR MODEL ON A PLANAR RANDOM LATTICE: SPECTRUM OF ANOMALOUS DIMENSIONS

1989 ◽  
Vol 04 (03) ◽  
pp. 217-226 ◽  
Author(s):  
I. K. KOSTOV
Keyword(s):  
Random Matrix ◽  
Vector Model ◽  
Cauchy Kernel ◽  
Two Dimensional ◽  
Critical Properties ◽  
Matrix Problem ◽  
Random Lattice ◽  
Anomalous Dimensions ◽  
N Vector

The O (n) model on a two-dimensional dynamical random lattice is reformulated as a random matrix problem. The critical properties of the model are encoded in the spectral density of the random matrix which satisfies an integral equation with Cauchy kernel. The analysis of its singularities shows that the model can be critical for −2 ≤ n ≤ 2 and allows the determination of the anomalous dimensions of an infinite series of magnetic operators. The results coincide with those found in Ref. 11 for 2d quantum gravity.

Structural and vibrational properties of a threefold-coordinated two-dimensional random lattice

1976 ◽  
Vol 14 (6) ◽  
pp. 2664-2671
Author(s):  
J. Y. Chen ◽  
J. F. Vetelino ◽  
S. S. Mitra
Keyword(s):  
Vibrational Properties ◽  
Two Dimensional ◽  
Random Lattice
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