An asymptotic solution of large-N QCD, and of large-N n=1 SUSY YM
OKC/Nordita High-Energy Physics Theory seminar
Monday 23 March 2015
to 14:30 at
Marco Bochicchio (INFN Rome)
We find an asymptotic solution for two-, three- and, to some extent, multi-point correlators of local gauge-invariant operators, in a lower-spin sector
of massless large-N QCD (and of n=1 SUSY YM), in terms of glueball and meson propagators, in such a way that the solution is asymptotic in the
ultraviolet to renormalization-group improved perturbation theory, by means of a new purely field-theoretical technique that we call the asymptotically-free bootstrap,
based on a recently-proved asymptotic structure theorem for two-point correlators.
The asymptotically-free bootstrap provides as well asymptotic S-matrix amplitudes in terms of glueball and meson propagators. Remarkably, the asymptotic S-matrix depends
only on the unknown particle spectrum, but not on the anomalous dimensions, as a consequence of the LSZ reduction formulae.
Very many physics consequences follow, both practically and theoretically. In fact, the asymptotic solution sets the strongest constraints on any actual
solution of large-N QCD (and of n=1 SUSY YM), and in particular on any string solution.