"An Exact, Finite, Gauge-Invariant, Non-Perturbative Model of QCD Renormalization," by Herb Fried (Brown University)

Tuesday, October 21, 2014 - 4:00pm to 5:00pm
TEP Seminars

TEP Seminar

Physics and Astronomy Building (PAB) Room 4-330
Tuesday, October 21, 2014

Guest Speaker: Herb Fried (Brown University)

Talk Title: "An Exact, Finite, Gauge-Invariant, Non-Perturbative Model of QCD Renormalization"


A previous formulation of non-perturbative, gauge-invariant, realistic QCD was able to sum over all gluons exchanged between any two quark lines, including cubic and quartic gluon interactions. Such an infinite numbers of exchanged gluons takes the form of one Gluon Bundle exchanged between those quark lines; Feynman graphs of individual gluon exchange are then replaced by Bundle Graphs, linking quarks and large numbers of closed quark loops, conveniently defined by a functional cluster expansion. Such combinations now form the essential set of "radiative corrections" of this non-perturbative formation of QCD.

A particular choice of renormalization, within the simplifications provided by the non-perturbative property of Effective Locality, leads to a completely finite, renormalized theory of QCD, in which all correlation functions can, in principle, be defined and calculated. In this Model of renormalization, only the Bundle chain-Graphs of the cluster expansion are non-zero. All Bundle graphs connecting to closed quark loops of whatever complexity, and attached to a single quark line, provide no 'self-energy' to that quark line, and hence no effective renormalization. However, the exchange of momentum between one quark line and another, involves only the cluster-expansion's chain graphs, and yields a set of contributions which can be summed and provide a finite color-charge renormalization that can be incorporated into all other QCD processes. An application to HE elastic pp scattering is now underway.