A New Matrix Model for Noncommutative Field Theory
High Energy Physics - Theory
2010-04-05 v1 Operator Algebras
Abstract
We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra. The matrix trajectories are obtained via the expansion of fields in a basis of new noncommutative solitons described by projections and partial isometries. The matrix quantum mechanics are compared with the usual zero-dimensional matrix model regularizations and some applications are sketched.
Cite
@article{arxiv.hep-th/0309031,
title = {A New Matrix Model for Noncommutative Field Theory},
author = {Giovanni Landi and Fedele Lizzi and Richard J. Szabo},
journal= {arXiv preprint arXiv:hep-th/0309031},
year = {2010}
}
Comments
14 pages, 2 figures