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Non-minimal Coupling from Consistency Requirements for a Localization Operator

2020/04/02 by Greenwood, Ross N.
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2004.00826

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.

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