New Integrable Systems from Unitary Matrix Models

Details New Integrable Systems from Unitary Matrix Models New Integrable Systems from Unitary Matrix Models

1991-10-22

arxiv.org/abs/hep-th/9110064v1

Phys. Lett. B277 (1992) 102

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/0370-2693(92)90964-6

We show that the one dimensional unitary matrix model with potential of the form $a U + b U^2 + h.c.$ is integrable. By reduction to the dynamics of the eigenvalues, we establish the integrability of a system of particles in one space dimension in an external potential of the form $a \cos (x+\alpha ) + b \cos ( 2x +\beta )$ and interacting through two-body potentials of the inverse sine square type. This system constitutes a generalization of the Sutherland model in the presence of external potentials. The positive-definite matrix model, obtained by analytic continuation, is also integrable, which leads to the integrability of a system of particles in hyperbolic potentials interacting through two-body potentials of the inverse hypebolic sine square type.

Affiliated with

Also associated with

No associations

Rating

New Integrable Systems from Unitary Matrix Models 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 New Integrable Systems from Unitary Matrix Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New Integrable Systems from Unitary Matrix Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-52237