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arXiv · hep-th/0309031

A New Matrix Model for Noncommutative Field Theory

Giovanni Landi·Fedele Lizzi·Richard J. Szabo
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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.

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Giovanni Landi, Fedele Lizzi, Richard J. Szabo. 2003-09-02. A New Matrix Model for Noncommutative Field Theory. https://doi.org/10.1016/j.physletb.2003.10.059

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