RATIONAL THEORIES OF 2D-GRAVITY FROM THE 2-MATRIX MODEL

被引:106
作者
DAUL, JM [1 ]
KAZAKOV, VA [1 ]
KOSTOV, IK [1 ]
机构
[1] CEA SACLAY, SERV PHYS THEOR, F-91191 GIF SUR YVETTE, FRANCE
关键词
D O I
10.1016/0550-3213(93)90582-A
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
The correspondence claimed by Douglas between the multicritical regimes of the two-matrix model and 2d gravity coupled with (p, q) rational matter field, is worked out explicitly. We found the minimal (p, q) multicritical potentials U(X) and V(Y), which are polynomials of degree p and q, correspondingly. The loop averages W(X) and W(Y) are shown to satisfy the Heisenberg relations {W, X} = 1 and {W, Y} = 1 and essentially coincide with the canonical momenta P and Q. The operators X and Y create the two kinds of boundaries in the (p, q) model related by the duality (p, q) <-> (q, p). Finally, we present a closed expression for the two two-loop correlators, and interpret its scaling limit.
引用
收藏
页码:311 / 338
页数:28
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