Florian Girelli

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We provide a simple proof of the topological invariance of the TuraevViro model (corresponding to simplicial 3d pure Euclidean gravity with cosmological constant) by means of a novel diagrammatic formulation of the state sum models for quantum BF-theories. Moreover, we prove the invariance under more general conditions allowing the state sum to be defined(More)
In many different ways, Deformed Special Relativity (DSR) has been argued to provide an effective limit of quantum gravity in almost-flat regime. Unfortunately, DSR is up to now plagued by many conceptual problems (in particular how it describes macroscopic objects) which forbids a definitive physical interpretation and clear predictions. Here we propose a(More)
This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer. It mostly deals with some algebraic preliminaries allowing to formulate perturbative renormalization within the theory of differential equations. The relation between renormalization, formulated(More)
Florian Girelli, ∗ Tomasz Konopka, 2, † Jerzy Kowalski-Glikman, ‡ and Etera R. Livine 4, § Perimeter Institute, 31 Caroline Street North Waterloo, Ontario, Canada N2L 2Y5 University of Waterloo, 200 University Ave. West, Waterloo, ON, N2L 3G1, Canada Institute for Theoretical Physics, University of Wroc law, Pl. Maxa Borna 9, Pl–50-204 Wroc law, Poland(More)
In the context of constrained quantum mechanics, reference systems are used to construct relational observables that are invariant under the action of the symmetry group. Upon measurement of a relational observable, the reference system undergoes an unavoidable measurement ‘‘back-action’’ that modifies its properties. In a quantum-gravitational setting, it(More)
In this talk, we show how the Connes-Kreimer Hopf algebra morphism can be extended when taking into account the wave-function renormalization. This leads us to a semi-direct product of invertible power series by formal diffeomorphisms. 1 The Connes-Kreimer formalism As has already been mentioned by A. Connes in his lecture [1], the standard BPHZ recursion(More)
Different deformations of the Poincaré symmetries have been identified for various non-commutative spaces (e.g. κ-Minkowski, sl(2, R), Moyal). We present here the deformation of the Poincaré symmetries related to Snyder space-time. The notions of smooth “K-loop”, a non-associative generalization of Abelian Lie groups, and its infinitesimal counterpart given(More)