Recurrence relations for spin foam vertices (2009)
Bonzom, Valentin, Livine, Etera R., Speziale, Simone
We study recurrence relations for various Wigner 3nj-symbols and the non-topological 10j-symbol. For the 6j-symbol and the 15j-symbols which correspond to basic amplitudes of 3d and 4d topological...
Sub-leading asymptotic behaviour of area correlations in the Barrett-Crane model (2009)
Christensen, J. Daniel, Khavkine, Igor, Livine, Etera R., Speziale, Simone
The Barrett-Crane spin foam model for quantum gravity provides an excellent setting for testing analytical and numerical tools used to probe spinfoam models. Here, we complete the report on the...
A note on the Plebanski action with cosmological constant and an Immirzi parameter (2009)
We study the field equations of the Plebanski action for general relativity when both the cosmological constant and an Immirzi parameter are present. We show that the Lagrange multiplier, which...
Spherically symmetric black holes in minimally modified self-dual gravity (2009)
Ishibashi, Akihiro, Speziale, Simone
We discuss spherically symmetric black holes in the modified self-dual theory of gravity recently studied by Krasnov, obtained adding a Weyl-curvature dependent `cosmological term' to the Plebanski...
Background-free propagation in loop quantum gravity (2008)
I review the definition of n-point functions in loop quantum gravity, discussing what has been done and what are the main open issues. Particular attention is dedicated to gauge aspects and...
Self-energy and vertex radiative corrections in LQG (2008)
Perini, Claudio, Rovelli, Carlo, Speziale, Simone
We consider the elementary radiative-correction terms in loop quantum gravity. These are a two-vertex "elementary bubble" and a five-vertex "ball"; they correspond to the one-loop self-energy and the...
Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model (2008)
Bonzom, Valentin, Livine, Etera R., Smerlak, Matteo, Speziale, Simone
We consider an exact expression for the 6j-symbol for the isosceles tetrahedron, involving integrals over SU(2), and use it to write the two-point function of 3d gravity on a single tetrahedron as a...
Area-angle variables for general relativity (2008)
Dittrich, Bianca, Speziale, Simone
We introduce a modified Regge calculus for general relativity on a triangulated four dimensional Riemannian manifold where the fundamental variables are areas and a certain class of angles. These...
Physical boundary state for the quantum tetrahedron (2007)
Livine, Etera R., Speziale, Simone
We consider stability under evolution as a criterion to select a physical boundary state for the spinfoam formalism. As an example, we apply it to the simplest spinfoam defined by a single quantum...
Numerical evidence of regularized correlations in spin foam gravity (2007)
Christensen, J. Daniel, Livine, Etera R., Speziale, Simone
We report on the numerical analysis of the area correlations in spin foam gravity on a single 4-simplex considered by Rovelli in PRL 97 (2006) 151301. We compare the asymptotics and confirm the...
Consistently Solving the Simplicity Constraints for Spinfoam Quantum Gravity (2007)
Livine, Etera R., Speziale, Simone
We give an independent derivation of the Engle-Pereira-Rovelli spinfoam model for quantum gravity which recently appeared in [arXiv:0705.2388]. Using the coherent state techniques introduced earlier...
Linearized dynamics from the 4-simplex Regge action (2007)
Dittrich, Bianca, Freidel, Laurent, Speziale, Simone
We study the relation between the hessian matrix of the riemannian Reggae action on a 4-simplex and linearized quantum gravity. We give an explicit formula for the hessian as a function of the...
Coupling gauge theory to spinfoam 3d quantum gravity (2007)
We construct a spinfoam model for Yang-Mills theory coupled to quantum gravity in three dimensional riemannian spacetime. We define the partition function of the coupled system as a power series in...
A new spinfoam vertex for quantum gravity (2007)
Livine, Etera R., Speziale, Simone
We introduce a new spinfoam vertex to be used in models of 4d quantum gravity based on SU(2) and SO(4) BF theory plus constraints. It can be seen as the conventional vertex of SU(2) BF theory, the...
Graviton propagator in loop quantum gravity (2007)
Bianchi, Eugenio, Modesto, Leonardo, Rovelli, Carlo, Speziale, Simone
We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter.
A semiclassical tetrahedron (2007)
Rovelli, Carlo, Speziale, Simone
We construct a macroscopic semiclassical state state for a quantum tetrahedron. The expectation values of the geometrical operators representing the volume, areas and dihedral angles are peaked...
Grasping rules and semiclassical limit of the geometry in the Ponzano-Regge model (2006)
Hackett, Jonathan, Speziale, Simone
We show how the expectation values of geometrical quantities in 3d quantum gravity can be explicitly computed using grasping rules. We compute the volume of a labelled tetrahedron using the triple...
Group Integral Techniques for the Spinfoam Graviton Propagator (2006)
Livine, Etera R., Speziale, Simone
We consider the proposal of gr-qc/0508124 for the extraction of the graviton propagator from the spinfoam formalism. We propose a new ansatz for the boundary state, using which we can write the...
A semiclassical tetrahedron (2006)
Rovelli, Carlo, Speziale, Simone
We construct a macroscopic semiclassical state state for a quantum tetrahedron. The expectation values of the geometrical operators representing the volume, areas and dihedral angles are peaked...
Towards the graviton from spinfoams: higher order corrections in the 3d toy model (2006)
Livine, Etera R., Speziale, Simone, Willis, Joshua L.
We consider the recent calculation gr-qc/0508124 of the graviton propagator in the spinfoam formalism. Within the 3d toy model introduced in gr-qc/0512102, we test how the spinfoam formalism can be...
On the perturbative expansion of a quantum field theory around a topological sector (2006)
Rovelli, Carlo, Speziale, Simone
The idea of treating general relativistic theories in a perturbative expansion around a topological theory has been recently put forward in the quantum gravity literature. Here we investigate the...
Graviton propagator in loop quantum gravity (2006)
Bianchi, Eugenio, Modesto, Leonardo, Rovelli, Carlo, Speziale, Simone
We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter.
From 3-geometry transition amplitudes to graviton states (2006)
Mattei, Federico, Rovelli, Carlo, Speziale, Simone, Testa, Massimo
In various background independent approaches, quantum gravity is defined in terms of a field propagation kernel: a sum over paths interpreted as a transition amplitude between 3-geometries, expected...
Graviton propagator in loop quantum gravity (2006)
Bianchi, Eugenio, Modesto, Leonardo, Rovelli, Carlo, Speziale, Simone
We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter.
Graviton propagator in loop quantum gravity (2006)
Bianchi, Eugenio, Modesto, Leonardo, Rovelli, Carlo, Speziale, Simone
We compute some components of the graviton propagator in loop quantum gravity, using the spinfoam formalism, up to some second order terms in the expansion parameter.
From 3-geometry transition amplitudes to graviton states (2006)
Mattei, Federico, Rovelli, Carlo, Speziale, Simone, Testa, Massimo
In various background independent approaches, quantum gravity is defined in terms of a field propagation kernel: a sum over paths interpreted as a transition amplitude between 3-geometries, expected...
From 3-geometry transition amplitudes to graviton states (2006)
Mattei, Federico, Rovelli, Carlo, Speziale, Simone, Testa, Massimo
In various background independent approaches, quantum gravity is defined in terms of a field propagation kernel: a sum over paths interpreted as a transition amplitude between 3-geometries, expected...
From 3-geometry transition amplitudes to graviton states (2006)
Mattei, Federico, Rovelli, Carlo, Speziale, Simone, Testa, Massimo
In various background independent approaches, quantum gravity is defined in terms of a field propagation kernel: a sum over paths interpreted as a transition amplitude between 3-geometries, expected...
Towards the graviton from spinfoams: the 3d toy model (2005)
Recently, a proposal has appeared for the extraction of the 2-point function of linearised quantum gravity, within the spinfoam formalism. This relies on the use of a boundary state, which introduces...
On the perturbative expansion of a quantum field theory around a topological sector (2005)
Rovelli, Carlo, Speziale, Simone
The idea of treating general relativistic theories in a perturbative expansion around a topological theory has been recently put forward in the quantum gravity literature. Here we investigate the...
From 3-geometry transition amplitudes to graviton states (2005)
Mattei, Federico, Rovelli, Carlo, Speziale, Simone, Testa, Massimo
In various background independent approaches, quantum gravity is defined in terms of a field propagation kernel: a sum over paths interpreted as a transition amplitude between 3-geometries, expected...
Spinfoam 2d quantum gravity and discrete bundles (2005)
Oriti, Daniele, Rovelli, Carlo, Speziale, Simone
In 4 dimensions, general relativity can be formulated as a constrained BF theory; we show that the same is true in 2 dimensions. We describe a spinfoam quantization of this constrained BF-formulation...
Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction (2005)
Rovelli, Carlo, Speziale, Simone
A Planck-scale minimal observable length appears in many approaches to quantum gravity. It is sometimes argued that this minimal length might conflict with Lorentz invariance, because a boosted...
On the perturbative expansion of a quantum field theory around a topological sector (2005)
Rovelli, Carlo, Speziale, Simone
The idea of treating general relativistic theories in a perturbative expansion around a topological theory has been recently put forward in the quantum gravity literature. Here we investigate the...
On the perturbative expansion of a quantum field theory around a topological sector (2005)
Rovelli, Carlo, Speziale, Simone
The idea of treating general relativistic theories in a perturbative expansion around a topological theory has been recently put forward in the quantum gravity literature. Here we investigate the...
Spinfoam 2d quantum gravity and discrete bundles (2004)
Oriti, Daniele, Rovelli, Carlo, Speziale, Simone
In 4 dimensions, general relativity can be formulated as a constrained $BF$ theory; we show that the same is true in 2 dimensions. We describe a spinfoam quantization of this constrained...
Spinfoam 2d quantum gravity and discrete bundles (2004)
Oriti, Daniele, Rovelli, Carlo, Speziale, Simone
In 4 dimensions, general relativity can be formulated as a constrained BF theory; we show that the same is true in 2 dimensions. We describe a spinfoam quantization of this constrained BF-formulation...
Spinfoam 2d quantum gravity and discrete bundles (2004)
Oriti, Daniele, Rovelli, Carlo, Speziale, Simone
In 4 dimensions, general relativity can be formulated as a constrained BF theory; we show that the same is true in 2 dimensions. We describe a spinfoam quantization of this constrained BF-formulation...
Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction (2002)
Rovelli, Carlo, Speziale, Simone
A Planck-scale minimal observable length appears in many approaches to quantum gravity. It is sometimes argued that this minimal length might conflict with Lorentz invariance, because a boosted...
Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction (2002)
Rovelli, Carlo, Speziale, Simone
A Planck-scale minimal observable length appears in many approaches to quantum gravity. It is sometimes argued that this minimal length might conflict with Lorentz invariance, because a boosted...
Reconcile Planck-scale discreteness and the Lorentz-Fitzgerald contraction (2002)
Rovelli, Carlo, Speziale, Simone
A Planck-scale minimal observable length appears in many approaches to quantum gravity. It is sometimes argued that this minimal length might conflict with Lorentz invariance, because a boosted...