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On the spinfoam expansion in cosmology · Around

2009

On the spinfoam expansion in cosmology

Rovelli, Carlo, Vidotto, Francesca

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We consider the technique introduced in a recent work by Ashtekar, Campiglia and Henderson, which generate a spinfoam-like sum from a Hamiltonian theory.

We study the possibility of using it for finding the generalized projector of a constraint on physical states, without first deparametrising the system.
We illustrate this technique in the context of a very simple example.
We discuss the infinities that appear in the calculation, and argue that they can be appropriately controlled.

Built on

C. Rovelli, L. Smolin, Knot theory and quantum gravity
1997
Earlier work this paper cites.
M. Gaul, C. Rovelli: A generalized Hamiltonian Constraint Operator in Loop Quantum Gravity and its simplest Euclidean Matrix Elements
2001
Earlier work this paper cites.

Similar

A. Perez, Spin Foam Models for Quantum Gravity
2003
Cited alongside, same era.
C. Rovelli Quantum Gravity
2004
Cited alongside, same era.
A. Ashtekar, M. Campiglia and A. Henderson, Loop Quantum Cosmology and Spin Foams,
Original
Cited in the paper.
M.V. Battisti, A. Marciano and C. Rovelli, Triangulated Loop Quantum Cosmology: Bianchi IX and inhomogeneous perturbations
Original
Cited in the paper.
E. Wilson-Ewing, C. Rovelli and F. Vidotto, Spinfoam formulation of Bianchi I and dipole quantum cosmology
Cited in the paper.

Then

K. Noui and A. Perez, Three dimensional loop quantum gravity: Physical scalar product and spin foam models,
2005
Later among the works it cites.
C. Rovelli and F. Vidotto, Stepping out of Homogeneity in Loop Quantum Cosmology
Original
2008
Later among the works it cites.

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