Seminari del Dipartimento
Fisica Matematica The ultraviolet problem for QED in d=3 Jonathan Dimock 03-10-2022 - 14:00 Largo San Leonardo Murialdo, 1
We review some recent work on quantum electrodynamics on a three dimensional Euclidean spacetime, work which culminates in a proof of ultraviolet stability in a finite volume. The model is formulated on a fine lattice and bounds are obtained uniformly in the lattice spacing. The method is a renormalization group technique due to Balaban. Topics to be covered are (1.) Introduction, (2.) Block averaging for gauge fields, (3.) Block averaging for Fermi fields, (4.) Random walk expansions, (5.) Norms and polymer functions, (6.) Renormalization group with bounded gauge fields, (7.) Renormalization, (8.) The full expansion. |