Adjoint Fermion Matrix Models

Details Adjoint Fermion Matrix Models Adjoint Fermion Matrix Models

1993-09-02

arxiv.org/abs/hep-th/9309012v1

Nucl.Phys. B422 (1994) 237-257

Physics

High Energy Physics

High Energy Physics - Theory

20pp., Latex (4 Latex figures), SMI-93-5

Scientific paper

10.1016/0550-3213(94)00061-1

We study fermionic one-matrix, two-matrix and $D$-dimensional gauge invariant matrix models. In all cases we derive loop equations which unambiguously determine the large-$N$ solution. For the one-matrix case the solution is obtained for an arbitrary interaction potential and turns out to be equivalent to the one for the Hermitean one-matrix model with a logarithmic potential and, therefore, belongs to the same universality class. The explicit solutions for the fermionic two-matrix and $D$-dimensional matrix models are obtained at large $N$ (or in the spherical approximation) for the quadratic potential.

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