###
Alex Kalloniatis

CSSM, University of Adelaide, Adelaide, Australia
###
High energy behaviour and analytic confinement

Confinement, more than the absence of coloured particles in the physical
spectrum, is the mechanism by which colourless hadronic bound states
emerge from the quark-gluon fields of Quantum Chromodynamics with their
particular properties, such as lying on Regge trajectories. The string
model is one intuitive picture for this. Another is analytic
confinement, whereby quark and gluon momentum space propagators are
entire functions but hadronic correlators admit Regge-like particle
fluctuations. One of the long-standing problems of this approach is that
such propagators necessarily diverge in the high energy regime where
quark-hadron duality should be manifested. With S.N. Nedelko, the four
dimensional "virton model" of Efimov and Ganbold, which manifests
analytic confinement of scalar bosonic fields with Regge-like bound
states, was studied. A resummation of Feynman graphs enables correct
high energy behaviour in the cross-section for e^{+}e^{-} annihilation to
hadrons to be restored. The key ingredient is that decay widths,
depending as they do on divergent-in-energy propagators, also grow in
energy and are manifested in amplitudes via the resummation. This
suffices to regulate the cross-section such that the OPE result
correctly emerges asymptotically.

Back to the theory seminar page.