A new class of Matrix Models arising from the W-infinity Algebra

Details A new class of Matrix Models arising from the W-infinity Algebra A new class of Matrix Models arising from the W-infinity Algebra

2002-03-25

arxiv.org/abs/hep-th/0203228v1

Phys.Lett. B537 (2002) 141-146

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 figure

Scientific paper

10.1016/S0370-2693(02)01879-8

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.

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