Quantizing G-connections via the tangent groupoid
Mathematical Physics
2016-11-23 v1 math.MP
Quantum Physics
Abstract
A description of the space of G-connections using the tangent groupoid is given. As the tangent groupoid parameter is away from zero, the G-connections act as convolution operators on a Hilbert space. The gauge action is examined in the tangent groupoid description of the G-connections. Tetrads are formulated as Dirac type operators. The connection variables and tetrad variables in Ashtekar's gravity are presented as operators on a Hilbert space.
Cite
@article{arxiv.1210.4456,
title = {Quantizing G-connections via the tangent groupoid},
author = {Alan Lai},
journal= {arXiv preprint arXiv:1210.4456},
year = {2016}
}
Comments
6 pages