2D Ising models with finite range interactions: scaling limit of the critical theory in the cylinder

by Alessandro Giuliani (Università di Roma 3)

Monday 8 Jun 2020, 14:00 → 16:00 Europe/Rome

Aula Conversi (Dipartimento di Fisica - Ed. G.Marconi)

IL SEMINARIO SARA' SVOLTO IN MODALITA' TELEMATICA

Conferenza del Centro Linceo

We consider finite range perturbations of the 2D Ising model in cylindrical geometry.  We show that at T_c the rescaled multipoint energy correlations converge to a well defined limit as the lattice mesh tends to zero. This scaling limit is the same as the one for nearest neighbor Ising, up to a finite  multiplicative renormalization constant; in particular, it is conformally covariant under changes of the aspect ratio of the cylinder. The proof is based on constructive Renormalization Group methods; a cancellation mechanism based on an approximate image method is crucial for controlling the flow of the boundary ruuning coupling constants...