A new matrix model for noncommutative field theory
Copyright policy )A new matrix model for noncommutative field theory
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.
14 pages, 2 figures
- University Federico II of Naples Italy
- University of Trieste Italy
- National Institute for Nuclear Physics Italy
- INFN Sezione di Napoli Italy
- Heriot-Watt University United Kingdom
Noncommutative Field Theory, High Energy Physics - Theory, Mathematics - Operator Algebras, FOS: Physical sciences, one-dimensional matrix models, Noncommutative Field Theory; Matrix Model; Regularization, Matrix Model, noncommutative field theory, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, Regularization, FOS: Mathematics, Noncommutative geometry in quantum theory, Operator Algebras (math.OA)
Noncommutative Field Theory, High Energy Physics - Theory, Mathematics - Operator Algebras, FOS: Physical sciences, one-dimensional matrix models, Noncommutative Field Theory; Matrix Model; Regularization, Matrix Model, noncommutative field theory, High Energy Physics - Theory (hep-th), Noncommutative geometry methods in quantum field theory, Regularization, FOS: Mathematics, Noncommutative geometry in quantum theory, Operator Algebras (math.OA)
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