Reduction of quantum systems and the local Gauss law
Mathematical Physics
2018-05-23 v1 math.MP
Operator Algebras
Abstract
We give an operator-algebraic interpretation of the notion of an ideal generated by the unbounded operators associated to the elements of the Lie algebra of a Lie group that implements the symmetries of a quantum system. We use this interpretation to establish a link between Rieffel induction and the implementation of a local Gauss law in lattice gauge theories similar to the method discussed by Kijowski and Rudolph in [5, 6].
Keywords
Cite
@article{arxiv.1705.05259,
title = {Reduction of quantum systems and the local Gauss law},
author = {Ruben Stienstra and Walter D. van Suijlekom},
journal= {arXiv preprint arXiv:1705.05259},
year = {2018}
}
Comments
6 pages