Scaling behaviour of three-dimensional group field theory

Pour illustrer la difficulté Pb2, comparons les résultats obtenus lorsque le principe du maximum est appliqué aux systèmes de jeux à champ moyen avec et sans interaction par la loi

We describe athermal packings and their observed geometric phase transitions using equilibrium statistical mechanics and develop a fully microscopic, mean-field theory of the

Uniform Borel summability in the coupling constant has been proven for vector, matrix and tensor quartic models [Riv07; Mag+09; Gur13a; DGR14; GK15], based on the loop vertex

In order to set up the TFDW model we imagine (in analogy to the nonrelativistic case) that the HF propagator can be replaced by a propagator of an effective field theory. where

finite chain length in the simulations (it) correction to the Gaussian elastic flee energy due to the finite extensibility of the cllain and higher order terms in the equation of

is shown that this condition holds for algebras of observables associated with wedge-shaped regions in Minkowski space-time if the system of local algebras is

To see this discrepancy we point out that if the interacting field is expanded in terms of free fields (which is a hypothesis in a symmetry rearrangement

theorem is the well-known statement concerning the intermediate fields of a simple transcendental field extension and prove this statement directly by means of some