A new matrix model for noncommutative field theory

Giovanni Landi; Fedele Lizzi; Richard J. Szabo

doi:10.1016/j.physletb.2003.10.059

A new matrix model for noncommutative field theory

Giovanni Landi, Fedele Lizzi, Richard J. Szabo

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5 Citations (Scopus)

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. © 2003 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	449-458
Number of pages	10
Journal	Physics Letters B
Volume	578
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2003.10.059
Publication status	Published - 8 Jan 2004

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N2 - 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. © 2003 Elsevier B.V. All rights reserved.

AB - 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. © 2003 Elsevier B.V. All rights reserved.

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EP - 458

JO - Physics Letters B

JF - Physics Letters B

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ER -

A new matrix model for noncommutative field theory

Abstract

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