The Continuous Series of Critical Points of the Two-Matrix Model at N -> infinity in the Double Scaling Limit

Details The Continuous Series of Critical Points of the Two-Matrix Model at N -> infinity in the Double Scaling Limit The Continuous Series of Critical Points of the Two-Matrix Model at N -> infinity in the Double Scaling Limit

1997-03-24

arxiv.org/abs/hep-th/9703161v1

Nucl.Phys. B520 (1998) 411-432

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX

Scientific paper

10.1016/S0550-3213(98)00080-7

The critical points of the continuous series are characterized by two complex numbers l_1,l_2 (Re(l_1,l_2)< 0), and a natural number n (n>=3) which enters the string susceptibility constant through gamma = -2/(n-1). The critical potentials are analytic functions with a convergence radius depending on l_1 or l_2. We use the orthogonal polynomial method and solve the Schwinger-Dyson equations with a technique borrowed from conformal field theory.

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