Perturbative analysis of an n-Ising model on a random surface

Details Perturbative analysis of an n-Ising model on a random surface Perturbative analysis of an n-Ising model on a random surface

1992-09-08

arxiv.org/abs/hep-th/9209022v1

Phys.Lett. B295 (1992) 209-213

Physics

High Energy Physics

High Energy Physics - Theory

9pp

Scientific paper

10.1016/0370-2693(92)91555-N

Two dimensional quantum gravity coupled to a conformally invariant matter field of central charge c=n/2, is represented, in a discretized version, by n independent Ising spins per cell of the triangulations of a random surface. The matrix integral representation of this model leads to a diagrammatic expansion at large orders, when the Ising coupling constant is tuned to criticality, one extracts the values of the string susceptibility exponent. We extend our previous calculation to order eight for genus zero and investigate now also the genus one case in order to check the possibility of having a well-defined double scaling limit even c>1.

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