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The Fock space of loopy spin networks for quantum gravity

- C. Charles, E. Livine
- Physics
- 3 March 2016

In the context of the coarse-graining of loop quantum gravity, we introduce loopy and tagged spin networks, which generalize the standard spin network states to account explicitly for non-trivial… Expand

Closure constraints for hyperbolic tetrahedra

- C. Charles, E. Livine
- Mathematics
- 5 January 2015

We investigate the generalization of loop gravity's twisted geometries to a q-deformed gauge group. In the standard undeformed case, loop gravity is a formulation of general relativity as a… Expand

The closure constraint for the hyperbolic tetrahedron as a Bianchi identity

- C. Charles, E. Livine
- Mathematics
- 28 July 2016

The closure constraint is a central piece of the mathematics of loop quantum gravity. It encodes the gauge invariance of the spin network states of quantum geometry and provides them with a… Expand

Simplicity constraints: A 3D toy model for loop quantum gravity

- C. Charles
- Physics
- 26 September 2017

In Loop Quantum Gravity, tremendous progress has been made using the Ashtekar-Barbero variables. These variables, defined in a gauge-fixing of the theory, correspond to a parametrization of the… Expand

Renormalization and Coarse-graining of Loop Quantum Gravity

- C. Charles
- Physics
- 25 November 2016

The continuum limit of loop quantum gravity is still an open problem. Indeed, no proper dynamics in known to start with and we still lack the mathematical tools to study its would-be continuum limit.… Expand

Ashtekar-Barbero holonomy on the hyperboloid: Immirzi parameter as a cutoff for quantum gravity

- C. Charles, E. Livine
- Physics
- 3 July 2015

In the context of the geometrical interpretation of the spin network states of Loop Quantum Gravity, we look at the holonomies of the Ashtekar-Barbero connection on loops embedded in space-like… Expand

N ov 2 01 7 Simplicity constraints : a 3 d toy-model for Loop Quantum Gravity

- C. Charles
- Physics
- 2018

In Loop Quantum Gravity, tremendous progress has been made using the Ashtekar-Barbero variables. These variables, defined in a gauge-fixing of the theory, correspond to a parametrization of the… Expand

Abelian 2+1D loop quantum gravity coupled to a scalar field

- C. Charles
- PhysicsGeneral Relativity and Gravitation
- 28 August 2018

In order to study 3d loop quantum gravity coupled to matter, we consider a simplified model of abelian quantum gravity, the so-called $$\mathrm {U}(1)^3$$U(1)3 model. Abelian gravity coupled to a… Expand

Electromagnetic Associated Strangeness Production and Hadrons Form Factors

A formalism, based on an isobaric approach, via Feynman diagrammatic technique, including the nucleonic (spin ≤ 5/2), hyperonic (spin 1/2) and kaonic resonances is developed. Using this formalism, a… Expand