A regularization of field theory on non-commutative torus
arXiv:hep-th/0310127
Abstract
Matrix model is used as a regularization of field theory on non-commutative torus. However, there exists an example that the product of the large-N limit of matrices does not coincide with that of the corresponding fields. We propose a new procedure for regularizing fields on a non-commutative torus by matrices with the help of the projection in the representation space, so that the products of the matrices coincide with those of the corresponding fields in the large-N limit.
8 pages
References in corpus (6)
- Noncommutative Perturbative Dynamics
- Lattice Gauge Fields and Discrete Noncommutative Yang-Mills Theory
- Non-Commutative Geometry on a Discrete Periodic Lattice and Gauge Theory
- Noncommutative String Worldsheets from Matrix Models
- Large N Structure of the IIB Matrix Model
- Large-N behaviors of the IIB matrix model and the regularized Schild models