2012/11/20 by Claudio Perini, Perini, Claudio · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1211.4807
openalex publication_date 2012/11/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a holomorphic representation for the Lorentzian EPRL spinfoam on arbitrary 2-complexes. The representation is obtained via the Ashtekar-Lewandowski-Marolf-Mourão-Thiemann heat kernel coherent state transform. The new variables are classical holonomy-flux phase space variables (h,X)≃ \mathcal T^*SU(2) of Hamiltonian loop quantum gravity prescribing the holonomies of the Ashtekar connection A=Γ+ γK, and their conjugate gravitational fluxes. For small heat kernel `time' the spinfoam amplitude is peaked on classical space-time geometries, where at most countably many curvatures are allowed for non-zero Barbero-Immirzi parameter. We briefly comment on the possibility to use the alternative flipped classical limit.