119 citations · 1.8k across the 76 of their papers we have counts for
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Generalization of the Bollobás-Riordan polynomial for tensor graphs
Adrian Tanasa
Tensor models are used nowadays for implementing a fundamental theory of quantum gravity. We define here a polynomial encoding the supplementary topological informatio…
Combinatorial Hopf Algebras in (Noncommutative) Quantum Field Theory
Adrian Tanasa
We briefly review the rôle played by algebraic structures like combinatorial Hopf algebras in the renormalizability of (noncommutative) quantum field theory. After sketching the co…
Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models
Thomas Krajewski, Jacques Magnen, Vincent Rivasseau +2
We investigate the group field theory formulation of the EPRL/FK spin foam models. These models aim at a dynamical, i.e. non-topological formulation of 4D quantum gravity. We intro…
Translation-Invariant Noncommutative Renormalization
Adrian Tanasa
We review here the construction of a translation-invariant scalar model which was proved to be perturbatively renormalizable on Moyal space. Some general considerations on nonlocal…