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.
Regularization and finiteness of the Lorentzian LQG vertices
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abstract
We give an explicit form for the Lorentzian vertices recently introduced for possibly defining the dynamics of loop quantum gravity. As a result of so doing, a natural regularization of the vertices is suggested. The regularized vertices are then proven to be finite. An interpretation of the regularization in terms of a gauge-fixing is also given.
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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.