Published July 4, 1994
| Version v1
Journal article
Adjoint fermion matrix models
Creators
- 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
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 26017919
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ANALYTICAL SOLUTION; ASYMPTOTIC SOLUTIONS; FERMIONS; GAUGE INVARIANCE; HERMITIAN MATRIX; INTEGRAL EQUATIONS; LATTICE FIELD THEORY; MANY-DIMENSIONAL CALCULATIONS; MATRICES; PARTITION FUNCTIONS; POTENTIALS
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; EQUATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; QUANTUM FIELD THEORY