2024/10/13 by Gaoping Long, Hongguang Liu, Long, Gaoping +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Laser-Matter Interactions and Applications #Quantum optics and atomic interactions
paper · pdf · doi:10.48550/arxiv.2410.09828
openalex publication_date 2024/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 analogue 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. 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 semi-classical approximation of the quantum propagator between twisted geometry coherent state in LQG.