Matrix regularization for tensor fields
High Energy Physics - Theory
2022-11-08 v3
Abstract
We propose a novel matrix regularization for tensor fields. In this regularization, tensor fields are described as rectangular matrices and both area-preserving diffeomorphisms and local rotations of the orthonormal frame are realized as unitary similarity transformations of matrices in a unified way. We also show that the matrix commutator corresponds to the covariantized Poisson bracket for tensor fields in the large- limit.
Cite
@article{arxiv.2110.15544,
title = {Matrix regularization for tensor fields},
author = {Hiroyuki Adachi and Goro Ishiki and Satoshi Kanno and Takaki Matsumoto},
journal= {arXiv preprint arXiv:2110.15544},
year = {2022}
}
Comments
27 pages