Volume 50, Number 1, April I 2000
|Page(s)||15 - 21|
|Published online||01 September 2002|
The six-vertex model on random lattices
Department of Physics and Astronomy, Rutgers University
Piscataway, NJ 08854-8019, USA
Accepted: 10 January 2000
In this letter, the 6-vertex model on dynamical random lattices is defined via a matrix model and rewritten (following I. Kostov) as a deformation of the O(2) model. In the large-N planar limit, an exact solution is found at criticality. The critical exponents of the model are determined; they vary continuously along the critical line. The vicinity of the latter is explored, which confirms that we have a line of c=1 conformal field theories coupled to gravity.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 04.60.Nc – Lattice and discrete methods
© EDP Sciences, 2000
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.