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

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

1997-01-27

arxiv.org/abs/hep-th/9701148v1

Nucl.Phys. B497 (1997) 699-724

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 7 postscript figures

Scientific paper

10.1016/S0550-3213(97)00299-X

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.

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