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

@inproceedings{Marshall1995CriticalBO,
title={Critical Behaviour of a Fermionic Random Matrix Model at Large-N},
author={Nicole Marshall and Gordon Walter Semenoff and Richard J. Szabo},
year={1995}
}

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 γstr = −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… CONTINUE READING