Non-minimal Coupling from Consistency Requirements for a Localization Operator
Mathematical Physics
2020-04-03 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
Requiring both that a proposed localization-density operator be linear in quantum theory and that its expectation value be covariant leads to addition of terms in the Hamiltonian, coupling a scalar field to a connection on the vector-density bundle. This would appear to implicate spacetime geometry in the scalar's dynamics to a greater degree than what is prescribed by minimal coupling.
Cite
@article{arxiv.2004.00826,
title = {Non-minimal Coupling from Consistency Requirements for a Localization Operator},
author = {Ross N. Greenwood},
journal= {arXiv preprint arXiv:2004.00826},
year = {2020}
}
Comments
Essay written for the Gravity Research Foundation 2020 Awards for Essays on Gravitation. (5 pages)