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Publications Influence

LQG vertex with finite Immirzi parameter

- Jonathan Engle, E. Livine, Roberto Pereira, Carlo Rovelli
- Physics, Mathematics
- 1 November 2007

Abstract We extend the definition of the “flipped” loop-quantum-gravity vertex to the case of a finite Immirzi parameter γ . We cover both the Euclidean and Lorentzian cases. We show that the… Expand

485 62- PDF

New spinfoam vertex for quantum gravity

- E. Livine, Simone Speziale
- Physics
- 4 May 2007

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… Expand

338 32- PDF

Exact and approximate unitary 2-designs and their application to fidelity estimation

- C. Dankert, R. Cleve, J. Emerson, E. Livine
- Physics
- 6 July 2009

We develop the concept of a unitary $t$-design as a means of expressing operationally useful subsets of the stochastic properties of the uniform (Haar) measure on the unitary group $U({2}^{n})$ on… Expand

329 15- PDF

Projected spin networks for Lorentz connection: linking spin foams and loop gravity

- E. Livine
- Physics
- 22 July 2002

In the search for a covariant formulation for loop quantum gravity, spin foams have arisen as the corresponding discrete spacetime structure and, among the different models, the Barrett–Crane model… Expand

100 11- PDF

Solving the simplicity constraints for spinfoam quantum gravity

- E. Livine, Simone Speziale
- Physics
- 14 August 2007

General relativity can be written as topological BF theory plus a set of second-class constraints. Classically the constraints provide the geometric interpretation of the B variables and reduce BF to… Expand

170 9- PDF

U(N) coherent states for loop quantum gravity

- L. Freidel, E. Livine
- Physics, Mathematics
- 12 May 2010

We investigate the geometry of the space of N-valent SU(2) intertwiners. We propose a new set of holomorphic operators acting on this space and a new set of coherent states which are covariant under… Expand

95 9- PDF

Ponzano-Regge model revisited: III. Feynman diagrams and effective field theory

- L. Freidel, E. Livine
- Physics
- 11 February 2005

We study the no-gravity limit GN → 0 of the Ponzano–Regge amplitudes with massive particles and show that we recover in this limit Feynman graph amplitudes (with the Hadamard propagator) expressed as… Expand

226 8- PDF

Spin networks for noncompact groups

- L. Freidel, E. Livine
- Mathematics, Physics
- 27 May 2002

Spin networks are a natural generalization of Wilson loop functionals. They have been extensively studied in the case where the gauge group is compact and it has been shown that they naturally form a… Expand

85 8- PDF

Holomorphic simplicity constraints for 4D spinfoam models

- Mait'e Dupuis, E. Livine
- Physics, Mathematics
- 19 April 2011

Within the framework of spinfoam models, we revisit the simplicity constraints reducing topological BF theory to 4D Riemannian gravity. We use the reformulation of SU(2) intertwiners and spin… Expand

75 7- PDF

Lifting SU(2) spin networks to projected spin networks

- Mait'e Dupuis, E. Livine
- Physics, Mathematics
- 24 August 2010

Projected spin network states are the canonical basis of quantum states of geometry for the recent EPRL-FK spinfoam models for quantum gravity introduced by Engle-Pereira-Rovelli-Livine and… Expand

66 6- PDF

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