Adjoint fermion matrix models

Aug, 1993
20 pages
Published in:
  • Nucl.Phys.B 422 (1994) 237-257
e-Print:
Report number:
  • ITEP-YM-5-93,
  • SMI-93-5

Citations per year

199320012009201720241302
Abstract: (desy)
We study fermionic one-matrix, two-matrix and DD-dimensional gauge invariant matrix models. In all cases we derive loop equations which unambiguously determine the large-NN 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 DD-dimensional matrix models are obtained at large NN (or in the spherical approximation) for the quadratic potential.
  • fermion: matrix model
  • any-dimensional
  • partition function
  • correlation function
  • field equations: solution
  • perturbation theory: higher-order
  • expansion 1/N