The Two-Dimensional O(2) Model on a Random Planar Lattice at Strong Coupling

Abstract

The large spacing phase of the infinite random matrix chain, which represents the strongly coupled two-dimensional O(2) model on a random planar lattice, is explored. A class of solutions valid for large lattice spacings is constructed. It is proved that these solutions exhibit the critical exponents characteristic of pure two-dimensional gravity. The character expansion for the chain model is developed and an order parameter governing the Kosterlitz--Thouless phase transition is identified.

30 pages, 7 postscript figures

References in corpus (3)

• One-Dimensional String Theory with Vortices as Upside-Down Matrix Oscillator
• A scenario for the c>1 barrier in non-critical bosonic strings
• Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces

Cited by in corpus (4)

• A Matrix Model for the Two Dimensional Black Hole
• Nonsinglet Sector of $c=1$ Matrix Model and 2D Black Hole
• Kosterlitz--Thouless Phase Transitions on Discretized Random Surfaces
• Eigenvalue Dynamics and the Matrix Chain