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Regularization and finiteness of the Lorentzian LQG vertices

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arxiv 0805.4696 v2 pith:SMQAOOLJ submitted 2008-05-30 gr-qc

Jonathan Engle , Roberto Pereira This is my paper · ORCID
classification gr-qc
keywords verticesregularizationlorentziandefiningdoingdynamicsexplicitfinite
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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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  1. (2+1) Lorentzian quantum cosmology from spin-foams: opportunities and obstacles for semi-classicality

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    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 an...

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