Nonabelian Cut Diagrams

Abstract

Symmetrization of bosonic wave functions produces bunching and low temperature phenomena like Bose-Einstein condensation, superfludity, superconductivity, as well as laser. Since probability is conserved, one might expect such bunchings at one place would lead to a depletion or a destructive interference at another place. This indeed takes place in high-energy scatterings, leading to cancellations between Feynman diagrams with permuted (real or virtual) boson lines. It is such cancellation that allow the Froissart bound to be obeyed, and the meson-baryon amplitudes in large-N_c QCD to be consistent. These lectures review the derivation and some of the applications of ``nonabelian cut diagrams'', which are resummation of Feynman diagrams, but with these interference effects explicitly incorporated. Unlike the traditional method where cancellations occur between Feynman diagrams, making it necessary to compute each diagram to subleading orders, destructive interference has been taken care of from the start in nonabelian cut diagrams. No further cancellation takes place, so each nonabelian cut diagram may be computed only in the leading order.