## 243 Citations

Twistorial structure of loop-gravity transition amplitudes

- Physics
- 2012

The spin foam formalism provides transition amplitudes for loop quantum gravity. Important aspects of the dynamics are understood, but many open questions are pressing on. In this paper we address…

Lorentzian LQG vertex amplitude

- Physics
- 2007

We generalize a model recently proposed for Euclidean quantum gravity to the case of Lorentzian signature. The main features of the Euclidean model are preserved in the Lorentzian one. In particular,…

Linking covariant and canonical loop quantum gravity: New solutions to the Euclidean scalar constraint

- Physics
- 2012

It is often emphasized that spin-foam models could realize a projection on the physical Hilbert space of canonical Loop Quantum Gravity (LQG). As a first test we analyze the one-vertex expansion of a…

for all loop quantum gravity

- Physics
- 2015

Groupfield theories represent a second quantized reformulation of the loop quantum gravity state space and a completion of the spin foam formalism. States of the canonical theory, in the traditional…

Spinor Representation for Loop Quantum Gravity

- Mathematics
- 2012

We perform a quantization of the loop gravity phase space purely in terms of spinorial variables, which have recently been shown to provide a direct link between spin network states and simplicial…

Degenerate Plebanski sector and spin foam quantization

- Computer Science
- 2012

It is suggested that restricting representations and intertwiners in the state sum for Spin(4) BF theory is not sufficient to get the correct vertex amplitude, so a quantization procedure is proposed which is by construction equivalent to the canonical path integral quantization and reproduces the SU(2) Crane–Yetter state sum.

Towards spinfoam cosmology

- Physics
- 2010

We compute the transition amplitude between coherent quantum states of geometry peaked on homogeneous-isotropic metrics. We work in the context of pure gravity without matter, we use the holomorphic…

Towards loop quantum supergravity (LQSG): I. Rarita–Schwinger sector

- Mathematics, Physics
- 2013

In our companion papers, we managed to derive a connection formulation of Lorentzian general relativity in D + 1 dimensions with compact gauge group SO(D + 1) such that the connection is…

Se p 20 07 The perturbative Regge-calculus regime of Loop Quantum Gravity

- Physics
- 2008

The relation between Loop Quantum Gravity and Regge calculus has been pointed out many times in the literature. In particular the large spin asymptotics of the Barrett-Crane vertex amplitude is known…

## References

SHOWING 1-10 OF 115 REFERENCES

New spinfoam vertex for quantum gravity

- Physics
- 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…

'Sum over surfaces' form of loop quantum gravity

- Physics
- 1997

We derive a spacetime formulation of quantum general relativity from (hamiltonian) loop quantum gravity. In particular, we study the quantum propagator that evolves the 3-geometry in proper time. We…

SU(2) loop quantum gravity seen from covariant theory

- Physics
- 2003

Covariant loop gravity comes out of the canonical analysis of the Palatini action and the use of the Dirac brackets arising from dealing with the second class constraints (“simplicity” constraints).…

Loop Quantum Gravity seen from Covariant Theory

- Physics
- 2005

Covariant loop gravity comes out of the canonical analysis of the Palatini action and the use of the Dirac brackets arising from dealing with the second class constraints (“simplicity” constraints).…

Loop-quantum-gravity vertex amplitude.

- PhysicsPhysical review letters
- 2007

This work presents an alternative dynamics that can be derived as a quantization of a Regge discretization of Euclidean general relativity, where second class constraints are imposed weakly.

Quantum Spin Dynamics (QSD)

- Physics
- 1998

An anomaly-free operator corresponding to the Wheeler - DeWitt constraint of Lorentzian, four-dimensional, canonical, non-perturbative vacuum gravity is constructed in the continuum. This operator is…

Three-dimensional loop quantum gravity: physical scalar product and spin-foam models

- Physics
- 2005

In this paper, we address the problem of the dynamics in three-dimensional loop quantum gravity with zero cosmological constant. We construct a rigorous definition of Rovelli's generalized projection…

Lorentzian loop quantum gravity vertex amplitude

- Physics
- 2008

We generalize a model recently proposed for Euclidean quantum gravity to the case of Lorentzian signature. The main features of the Euclidean model are preserved in the Lorentzian one. In particular,…

Spacetime as a Feynman diagram: the connection formulation

- Physics
- 2001

Spin-foam models are the path-integral counterparts to loop-quantized canonical theories. Over the last few years several spin-foam models of gravity have been proposed, most of which live on finite…