Double scaling limit in the random matrix model: the Riemann-Hilbert approach

Details Double scaling limit in the random matrix model: the Riemann-Hilbert approach Double scaling limit in the random matrix model: the Riemann-Hilbert approach

2002-01-02

arxiv.org/abs/math-ph/0201003v2

Physics

Mathematical Physics

74 pages, 5 figures

Scientific paper

We prove the existence of the double scaling limit in the unitary matrix
model with quartic interaction, and we show that the correlation functions in
the double scaling limit are expressed in terms of the integrable kernel
determined by the psi-function for the Hastings-McLeod solution to the
Painlev\'e II equation. The proof is based on the Riemann-Hilbert approach.

Affiliated with

Also associated with

No associations

Rating

Double scaling limit in the random matrix model: the Riemann-Hilbert approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Double scaling limit in the random matrix model: the Riemann-Hilbert approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Double scaling limit in the random matrix model: the Riemann-Hilbert approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-565041