Vertex Models on Feynman Diagrams

Details Vertex Models on Feynman Diagrams Vertex Models on Feynman Diagrams

1997-09-02

arxiv.org/abs/hep-lat/9709003v1

Phys.Lett. A248 (1998) 37-48

Physics

High Energy Physics

High Energy Physics - Lattice

10 Pages text (LaTeX), 4 eps figures

Scientific paper

10.1016/S0375-9601(98)00651-3

The statistical mechanics of spin models, such as the Ising or Potts models, on generic random graphs can be formulated economically by considering the N --> 1 limit of Hermitian matrix models. In this paper we consider the N --> 1 limit in complex matrix models, which describes vertex models of different sorts living on random graphs. From the graph theoretic perspective one is using matrix model and field theory inspired methods to count various classes of directed graphs. We also make some remarks on vertex models on planar random graphs (the N --> infinity limit) where the resulting matrix models are not generally soluble using currently known methods. Nonetheless, some particular cases may be mapped onto known models and hence solved.

Affiliated with

Also associated with

No associations

Rating

Vertex Models on Feynman Diagrams 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 Vertex Models on Feynman Diagrams, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vertex Models on Feynman Diagrams will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-468363