Perturbative approach to the critical behaviour of two-matrix models in the limit N -> infinity

Details Perturbative approach to the critical behaviour of two-matrix models in the limit N -> infinity Perturbative approach to the critical behaviour of two-matrix models in the limit N -> infinity

1996-09-03

arxiv.org/abs/hep-th/9609036v1

Nucl.Phys. B486 (1997) 673-695

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, LateX

Scientific paper

10.1016/S0550-3213(96)00662-1

We construct representations of the Heisenberg algebra by pushing the perturbation expansion to high orders. If the multiplication operators $B_{1,2}$ tend to differential operators of order $l_{2,1}$, respectively, the singularity is characterized by $(l _{1},l_{2})$. Let $l_{1} \geq l_{2}$. Then the two cases A : ``$l_{2}$ does not divide $l_{1}$'' and B : ``$l_{2}$ divides $l_{1}$'' need a different treatment. The universality classes are labelled $[p,q]$ where $[p,q]$=[$l_{1}$,$l_{2}$] in case A and $[p,q]$=[$l_{1}+1$,$l_{2}$] in case B.

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