2021
DOI: 10.48550/arxiv.2110.01317
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Twisted geometry coherent states in all dimensional loop quantum gravity: I. Construction and Peakedness properties

Gaoping Long,
Xiangdong Zhang,
Cong Zhang

Abstract: A new family of coherent states for all dimensional loop quantum gravity are proposed, which is based on the generalized twisted geometry parametrization of the phase space of SO(D + 1) connection theory. We prove that this family of coherent states provide an over-complete basis of the Hilbert space in which edge simplicity constraint is solved. Moreover, according to our explicit calculation, the expectation values of holonomy and flux operators with respect to this family of coherent states coincide with th… Show more

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