Meromorphization of large-N quantum field theory

by S. Migdal (Princeton University)

Monday 19 Mar 2012, 14:30 → 16:00 Europe/Rome

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

We find general relations between the renormalization group equations and planar unitarity-analyticity. These relations are summarized in the meromorphization procedure, generalizing the Pade' approximation in the limit of infinite order. We also investigate confinement conditions for the mass spectrum in asymptotically free quantum field theory. We work out explicit examples both in the asymptotically free case that includes QCD, and in the conformal case with conformal symmetry broken by an infinite number of condensates, that matches some results obtained using the AdS/CFT correspondence. In both cases we get a theory of resonances with an infinite number of masses.