Universal correlators for multi-arc complex matrix models

Details Universal correlators for multi-arc complex matrix models Universal correlators for multi-arc complex matrix models

1997-01-31

arxiv.org/abs/hep-th/9702005v2

Nucl.Phys. B507 (1997) 475-500

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTex, minor changes, to appear in Nucl.Phys.B

Scientific paper

10.1016/S0550-3213(97)00552-X

The correlation functions of the multi-arc complex matrix model are shown to be universal for any finite number of arcs. The universality classes are characterized by the support of the eigenvalue density and are conjectured to fall into the same classes as the ones recently found for the hermitian model. This is explicitly shown to be true for the case of two arcs, apart from the known result for one arc. The basic tool is the iterative solution of the loop equation for the complex matrix model with multiple arcs, which provides all multi-loop correlators up to an arbitrary genus. Explicit results for genus one are given for any number of arcs. The two-arc solution is investigated in detail, including the double-scaling limit. In addition universal expressions for the string susceptibility are given for both the complex and hermitian model.

Affiliated with

Also associated with

No associations

Rating

Universal correlators for multi-arc complex 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 Universal correlators for multi-arc complex matrix models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universal correlators for multi-arc complex matrix models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-511558