Semiclassical propagator for coherent state on twisted geometry
Long G, Liu H, Zhang C (2025)
Publication Type: Journal article
Publication year: 2025
Journal
Book Volume: 111
Article Number: 046021
Journal Issue: 4
DOI: 10.1103/PhysRevD.111.046021
Abstract
A new set of twisted geometric variables is introduced to parametrize the holonomy-flux phase space in loop quantum gravity. It is verified that these new geometric variables, after symplectic reduction with respect to the Gauss constraint, form a Poisson algebra which is analogous to that in quantum mechanics. This property ensures that these new geometric variables provide a simple path measure, upon which a new formulation of coherent-state path integral based on twisted geometry coherent state is established in loop quantum gravity (LQG). Especially, this path integral is analytically computable by expanding the corresponding effective action around the complex evolution trajectories at second order, and the result gives the semiclassical approximation of the quantum propagator between twisted geometry coherent state in LQG.
Authors with CRIS profile
Hongguang Liu
Chair for Theoretical Physics III (Quantum Gravity)
Cong Zhang
Chair for Theoretical Physics III (Quantum Gravity)
Involved external institutions
China (CN)How to cite
APA:
Long, G., Liu, H., & Zhang, C. (2025). Semiclassical propagator for coherent state on twisted geometry. Physical Review D, 111(4). https://doi.org/10.1103/PhysRevD.111.046021
MLA:
Long, Gaoping, Hongguang Liu, and Cong Zhang. "Semiclassical propagator for coherent state on twisted geometry." Physical Review D 111.4 (2025).
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