Low Temperature Expansion of Matrix Models

Details Low Temperature Expansion of Matrix Models Low Temperature Expansion of Matrix Models

1993-03-26

arxiv.org/abs/hep-th/9303146v1

Phys.Lett. B315 (1993) 67-73

Physics

High Energy Physics

High Energy Physics - Theory

10 pp. and 5 figures (included), TeX + harvmac, PUPT-1384

Scientific paper

10.1016/0370-2693(93)90159-F

We show how to expand the free energy of a matrix model coupled to arbitrary matter in powers of the matter coupling constant. Concentrating on $\nu$ uncoupled Ising models---which have central charge $\nu/2$---we work out the expansion to sixth order for $\nu$ = 1, 2, and 3. Analyzing the series by the ratio method, we exhibit the spin-ordering phase transition. We discuss the limit $\nu \rightarrow \infty$, which is especially clear in the low temperature expansion; we prove that in this limit the dependence of the model on $\nu$ becomes trivial.

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