Rank-d Tensorial Group Field Theories are quantum field theories defined on a group manifold $G^{\times d}$, which represent a non-local generalization of standard QFT, and a candidate formalism for… Expand

We study a model of Tensorial Group Field Theory (TGFT) on R from the point of view of the Functional Renormalisation Group. This is the first attempt to apply a renormalisation procedure to a TGFT… Expand

We study a model of Tensorial Group Field Theory (TGFT) on from the point of view of the Functional Renormalization Group (FRG). This is the first attempt to apply a renormalization procedure to a… Expand

We determine bounds on the curvature of local patches of spacetime from the requirement of intact long-range chiral symmetry. The bounds arise from a scale-dependent analysis of gravitational… Expand

We discuss two distinct realizations of the diffeomorphism group for metric gravity, which give rise to theories that are classically equivalent, but quantum mechanically distinct. We renormalize… Expand

We consider the leading order perturbative renormalization of the multicritical $$\phi ^{2n}$$ϕ2n models and some generalizations in curved space. We pay particular attention to the nonminimal… Expand

In this thesis we study examples of critical behavior of quantum systems coupled to a background metric. The analysis is performed with the double purpose of extracting information about matter… Expand