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Matrix regularization for tensor fields

delete2022-12-13
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OA
AI
H
Hiroyuki Adachi
G
Goro Ishiki
S
Satoshi Kanno *
T
Takaki Matsumoto
DOI:10.1093/ptep/ptac171delete
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摘要

摘要

En 中文
We propose a novel matrix regularization for tensor fields. In this regularization, tensor fields are described as rectangular matrices, and area-preserving diffeomorphisms and local rotations of the orthonormal frame are both 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-N limit.
Keyword:
QUANTIZATION
GEOMETRY
MODEL

期刊

Progress of Theoretical and Experimental Physics 封面图
Progress of Theoretical and Experimental Physics
IF:
8.3
论文数:
2.6K
被引数:
6.4K

机构

D
Dublin Institute for Advanced Studies
学者数:
826
论文数: 765
被引数: 1.1K
U
University of Tsukuba
学者数:
1.8W
论文数: 1.5W
被引数: 1.7W
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