A New Matrix Model for Noncommutative Field Theory

Details A New Matrix Model for Noncommutative Field Theory A New Matrix Model for Noncommutative Field Theory

2003-09-02

arxiv.org/abs/hep-th/0309031v1

Phys.Lett. B578 (2004) 449-458

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 figures

Scientific paper

10.1016/j.physletb.2003.10.059

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.

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