Glueball and meson propagators of any spin in large-N QCD

by Marco Bochicchio (ROMA1)

Thursday 14 Nov 2013, 16:00 → 17:30 Europe/Rome

Aula Conversi (Dip. di Fisica - Edificio G. Marconi)

We prove an asymptotic structure theorem for glueball and meson propagators of any spin in large-N QCD and in n=1 SUSY QCD with massless quarks, that determines asymptotically the residues of the poles of the propagators in terms of their anomalous dimensions and of the spectral density of the masses, by matching the constraints arising by the renormalization group and the asymptotic freedom. The asymptotic theorem is inspired by a recently proposed Topological Field Theory (TFT) underlying large-N pure YM, that computes certain glueball propagators satisfying the asymptotic theorem and that implies for the large-N joint scalar and pseudoscalar glueball spectrum exact linearity in the masses squared. On the infrared side we test the prediction of the exact linearity in the TFT by Meyer-Teper lattice numerical computation in SU(8) YM, finding accurate agreement. Besides, we employ the aforementioned ultraviolet and infrared constraints in order to compare critically the glueball propagators computed in the framework of the AdS String/large-N Gauge Theory correspondence with those of the TFT. We find that only the TFT satisfies the ultraviolet and infrared constraints.