A 2+1 Lorentzian spin-foam cosmology model with a Hessian-derived measure and a massive scalar field yields convergent partition functions, with semi-classical expectation values only in the causally regular sector and only for suitable measures.
(2+1)-dimensional quantum gravity, spin networks and asymptotics
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abstract
A method to evaluate spin networks for (2+1)-dimensional quantum gravity is given. We analyse the evaluation of spin networks for Lorentzian, Euclidean and a new limiting case of Newtonian quantum gravity. Particular attention is paid to the tetrahedron and to the study of its asymptotics. Moreover, we propose that all this technique can be extended to spin networks for quantum gravity in any dimension.
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gr-qc 1years
2024 1verdicts
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(2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality
A 2+1 Lorentzian spin-foam cosmology model with a Hessian-derived measure and a massive scalar field yields convergent partition functions, with semi-classical expectation values only in the causally regular sector and only for suitable measures.