Deformation of the EPRL spin foam model by a cosmological constant
arXiv:1803.01838 · doi:10.1103/PhysRevD.97.086010
Abstract
In this article, we consider an ad-hoc deformation of the EPRL model for quantum gravity by a cosmological constant term. This sort of deformation has been first introduced by Han for the case of the -simplex. In this article, we generalise the deformation to the case of arbitrary vertices, and compute its large--asymptotics. We show that, if the boundary data corresponds to a polyhedron , then the asymptotic formula gives the usual Regge action plus a cosmological constant term. We pay particular attention to the determinant of the Hessian matrix, and show that it can be related to the one of the undeformed vertex.
arXiv comment10 pages, 3 figures
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Cited by in corpus (7)
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- Curvature effects in the spectral dimension of spin foams
- Cosmology in Lorentzian Regge calculus: causality violations, massless scalar field and discrete dynamics
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