Published July 4, 1994 | Version v1
Journal article

Adjoint fermion matrix models

  • 1. Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259 Moscow (Russian Federation)
  • 2. Steklov Mathematical Institute, Vavilov st. 42, GSP-1, 117966 Moscow (Russian Federation)

Description

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 hermitian 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. ((orig.))

Additional details

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
422
Journal Issue
1-2
Journal Page Range
p. 237-257.
ISSN
0550-3213
CODEN
NUPBBO