Deficit angles in 4D spinfoam with a cosmological constant: De Sitter-ness, anti-de Sitter-ness and more
Han M, Pan Q (2024)
Publication Type: Journal article
Publication year: 2024
Journal
Book Volume: 109
Article Number: 084040
Journal Issue: 8
DOI: 10.1103/PhysRevD.109.084040
Abstract
This paper investigates the critical behaviors of the 4-dimensional spinfoam model with cosmological constant for a general 4-dimensional simplicial complex as the discretization of spacetime. We find that, at the semiclassical regime, the spinfoam amplitude is peaked at the real critical points that correspond to zero deficit angles (modulo 4πZ/γ) hinged by internal triangles of the 4-complex. Since the 4-simplices from the model are of constant curvature, the discrete geometry with zero deficit angle manifests a de Sitter (dS) spacetime or an anti-de Sitter (AdS) spacetime depending on the sign of the cosmological constant fixed by the boundary condition. The non-(A)dS spacetimes emerge from the complex critical points by an analytic continuation to complex configurations.
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APA:
Han, M., & Pan, Q. (2024). Deficit angles in 4D spinfoam with a cosmological constant: De Sitter-ness, anti-de Sitter-ness and more. Physical Review D, 109(8). https://doi.org/10.1103/PhysRevD.109.084040
MLA:
Han, Muxin, and Qiaoyin Pan. "Deficit angles in 4D spinfoam with a cosmological constant: De Sitter-ness, anti-de Sitter-ness and more." Physical Review D 109.8 (2024).
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