Ising model on a dynamical planar random lattice: Exact solution

Vladimir Kazakov

Type: Article

Publication Date: 1986-12-01

Citations: 406

DOI: https://doi.org/10.1016/0375-9601(86)90433-0

View Publication

Locations

Physics Letters A - View

Similar Works

Action	Title	Year	Authors
+	PERCOLATION ON A FRACTAL WITH THE STATISTICS OF PLANAR FEYNMAN GRAPHS: EXACT SOLUTION	1989	Vladimir Kazakov
+	<font>O</font>(n) VECTOR MODEL ON A PLANAR RANDOM LATTICE: SPECTRUM OF ANOMALOUS DIMENSIONS	1989	Ivan Kostov
+ PDF Chat	PLANAR ISING MODEL AT CRITICALITY: STATE-OF-THE-ART AND PERSPECTIVES	2019	Dmitry Chelkak
+	Exactly solvable Potts models, bond- and tree-like percolation on dynamical (random) planar lattice	1988	Vladimir Kazakov
+	The ising model on a random planar lattice: The structure of the phase transition and the exact critical exponents	1987	D.V. Boulatov Vladimir Kazakov
+	the planar Ising model	2016	Victor Herdeiro Benjamin Doyon
+	Phase transitions in disordered systems: Exactly solvable model	1996	Demetris Nicolaides A. A. Lisyansky
+ PDF Chat	Random Ising spins in two dimensions: A flat space realization of the Knizhnik-Polyakov-Zamolodchikov exponents	1995	M. Vekić Shao Liu Herbert W. Hamber
+ PDF Chat	Analysis of the planar Ising model beyond the critical Z-invariant setup	2022	Rémy Mahfouf
+	Exact Spectral Dimension of the Random Surface	2009	Igor S. Goncharenko
+	Two-dimensional quantum gravity	2015	Ivan Kostov
+	A dynamic phase diagram of the planar Ising antiferromagnet	1997	M. Antoniuk K. Kułakowski
+	The energy density in the planar Ising model	2010	Clément Hongler Stanislav Smirnov
+	The energy density in the planar Ising model	2010	Clément Hongler Stanislav Smirnov
+	Interface tension, equilibrium crystal shape, and imaginary zeros of partition function: Planar Ising systems	1990	Yasuhiro Akutsu Noriko Akutsu
+ PDF Chat	Frustrating and diluting dynamical lattice Ising spins	1994	D.A. Johnston
+	The degree distribution in bipartite planar maps: applications to the Ising model	2002	Mireille Bousquet‐Mélou Gilles Schaeffer
+	Disordered Ising Systems and Random Cluster Representations	1994	Charles M. Newman
+	Planar Ising model at criticality: state-of-the-art and perspectives	2017	Dmitry Chelkak
+	Planar Ising model at criticality: state-of-the-art and perspectives	2017	Dmitry Chelkak

Works That Cite This (355)

Action	Title	Year	Authors
+ PDF Chat	Fluid random surfaces with extrinsic curvature. II	1993	Κωνσταντίνος Αναγνωστόπουλος Mark J. Bowick Paul Coddington Marco Falcioni Leping Han Geoff Harris Enzo Marinari
+	Local convergence of large random triangulations coupled with an Ising model	2020	Marie Albenque Laurent Ménard Gilles Schaeffer
+ PDF Chat	Critical behaviour of loop models on causal triangulations	2021	Bergfinnur Durhuus Xavier Poncini Jørgen Rasmussen Meltem Ünel
+	Spanning forests in regular planar maps	2015	Mireille Bousquet‐Mélou Julien Courtiel
+ PDF Chat	Topological expansion and boundary conditions	2008	Benoît Eynard Nicolas Orantin
+ PDF Chat	Factorization in 2D string theory	1993	Hiroshi Shirokura
+ PDF Chat	Invariants of algebraic curves and topological expansion	2007	Benoît Eynard Nicolas Orantin
+ PDF Chat	Rational theories of 2d gravity from the two-matrix model	1993	Jean-Marc Daul Vladimir Kazakov Ivan Kostov
+ PDF Chat	Large N expansion of convergent matrix integrals, holomorphic anomalies, and background independence	2009	Bertrand Eynard
+ PDF Chat	One-matrix differential reformulation of two-matrix models	2022	Joren Brunekreef Luca Lionni Johannes Thürigen

Works Cited by This (9)

Action	Title	Year	Authors
+	Planar diagrams, two-dimensional lattice gravity and surface models	1985	François David
+	Bilocal regularization of models of random surfaces	1985	Vladimir Kazakov
+	A model of random surfaces with non-trivial critical behaviour	1985	François David
+	Diseases of triangulated random surface models, and possible cures	1985	J. Ambjørn Bergfinnur Durhuus Jürg Fröhlich
+	On the entropy of random surfaces	1982	A. B. Zamolodchikov
+	The planar approximation. II	1980	C. Itzykson Jean-Bernard Zuber
+	Critical properties of randomly triangulated planar random surfaces	1985	Vladimir Kazakov Ivan Kostov Alexander Migdal
+	Loop equations and 1N expansion	1983	Alexander Migdal
+	Planar diagrams	1978	E. Brézin C. Itzykson Giorgio Parisi Jean-Bernard Zuber