Critical Behaviour of a Fermionic Random Matrix Model at Large-N

Details Critical Behaviour of a Fermionic Random Matrix Model at Large-N Critical Behaviour of a Fermionic Random Matrix Model at Large-N

1994-10-27

arxiv.org/abs/hep-th/9410214v1

Phys.Lett. B351 (1995) 153-161

Physics

High Energy Physics

High Energy Physics - Theory

14 pages LaTeX; UBC/S-94/1

Scientific paper

10.1016/0370-2693(95)00367-T

We study the large-$N$ limit of adjoint fermion one-matrix models. We find one-cut solutions of the loop equations for the correlators of these models and show that they exhibit third order phase transitions associated with $m$-th order multi-critical points with string susceptibility exponents $\gamma_{\rm str}=-1/m$. We also find critical points which can be interpreted as points of first order phase transitions, and we discuss the implications of this critical behaviour for the topological expansion of these matrix models.

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