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- Florian Girelli, Robert OECKL
- 2001

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)

The term higher gauge theory refers to the generalization of gauge theory to a theory of connections at two levels, essentially given by 1and 2-forms. So far, there have been two approaches to this subject. The differential picture uses non-Abelian 1and 2-forms in order to generalize the connection 1-form of a conventional gauge theory to the next level.… (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)

- Florian Girelli, Thomas Krajewski, Pierre Martinetti
- 2008

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
- 2008

We show that the running of gravitational couplings, together with a suitable identification of the renormalization group scale can give rise to modified dispersion relations for massive particles. This result seems to be compatible with both the frameworks of effective field theory with Lorentz invariance violation and deformed special relativity. The… (More)

- Florian Girelli
- 2005

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)

We discuss a toy model for an emergent non-relativistic gravitational theory. Within a certain class of Bose–Einstein condensates, it is possible to show that, in a suitable regime, a modified version of non-relativistic Newtonian gravity does effectively describes the low energy dynamics of the coupled system condensate/quasi-particles.

- Florian Girelli, Thomas Krajewski, Pierre Martinetti
- 2008

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)

- Florian Girelli
- 2010

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)