A New Matrix Model for Noncommutative Field Theory
arXiv:hep-th/0309031 · doi:10.1016/j.physletb.2003.10.059
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.
14 pages, 2 figures
References in corpus (2)
Cited by in corpus (4)
- Dimensional Deception from Noncommutative Tori: An alternative to Horava-Lifschitz
- Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory
- Translation-Invariant Noncommutative Gauge Theories, Matrix Modeling and Noncommutative Geometry
- Proceedings to the 'Euroconference on Symmetries Beyond the Standard Model', 12. - 17. July 2003, Portoroz, Slovenia (Part 1 of 2)