62 articles – 637 Notices  [english version]
HAL : hal-00417638, version 1

Fiche détaillée  Récupérer au format
The Renormalization Group and Statistical Mechanics, Vancouver : Canada (2009)
Renormalization group analysis of a weakly self-avoiding Levy walk in the cubic lattice Z^3.
Pronob Mitter1
(06/07/2009)

The Green's function of a weakly self-avoiding Levy walk with long range jumps in a large but finite cube in Z^3 can be expressed as the two point correlation function in a supersymmetric field theory. We have proved the global existence of the renormalization group trajectory of the underlying supersymmetric measure at all renormalization group scales . We establish the existence of the critical (stable) manifold and prove that the interactions are bounded away from zero on all scales. This is a step in a program to study rigorously the critical exponents of a self- avoiding Levy walk. Based on joint work with Benedetto Scoppola published in J.Stat Phys (2008) 133:921-1011.
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Mathématiques/Physique mathématique

Physique/Physique mathématique