A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications

• Published in: Classical and quantum gravity Vol. 40; no. 22; pp. 225002 - 225026
• Main Authors: Sahlmann, Hanno, Sherif, Waleed
• Format: Journal Article
• Language: English
• Published: IOP Publishing 16.11.2023
• Subjects: coherent states; diffeomorphism invariance; Fock space; group field theory; loop quantum gravity

Abstract Loop quantum gravity (LQG) is a quantization program for gravity based on the principles of QFT and general covariance of general relativity. Quantum states of LQG describe gravitational excitations based on graphs embedded in a spatial slice of spacetime. We show that, under certain assump...