A New class of matrix models arising from the W(1+infinity) algebra

HENRY DAVID HERCE , GUILLERMO RAUL ZEMBA

PHYSICS LETTERS B

ELSEVIER SCIENCE BV

Lugar: Amsterdam, Holanda; Año: 2002 vol. 537 p. 141 - 146

0370-2693

We present a new class of hermitian one-matrix models originated in the W-infinity algebra: more precisely, the polynomials defining the W-infinity generators in their fermionic bilinear form are shown to expand the orthogonal basis of a class of random hermitian matrix models. The corresponding potentials are given, and the thermodynamic limit interpreted in terms of a simple plasma picture. The new matrix models can be successfully applied to the full bosonization of interesting one-dimensional systems, including all the perturbative orders in the inverse size of the system. As a simple application, we present the all-order bosonization of the free fermionic field on the one-dimensional lattice.