https://doi.org/10.1140/epjc/s10052-009-1224-7
Regular Article - Theoretical Physics
Gauge-invariant summation of All QCD virtual gluon exchanges
1
Physics Department, Brown University, Providence, RI, 02912, USA
2
Institut Non Linéaire de Nice, UMR 6618 CNRS, 1361, Route des Lucioles, 06560, Valbonne, France
3
Perimeter Institute for Theoretical Physics, Waterloo, ON, Canada N2L 2Y5,
* e-mail: ymsheu@mailaps.org
** e-mail: ymsheu@gmail.com
Received:
6
July
2009
Revised:
18
October
2009
Published online:
10
December
2009
The interpretation of virtual gluons as ghosts in the non-linear gluonic structure of QCD permits the formulation and realization of a manifestly gauge-invariant and Lorentz covariant theory of interacting quarks/anti-quarks, for all values of coupling. The simplest example of quark/anti-quark scattering in a high-energy, quenched, eikonal model at large coupling is shown to be expressible as a set of finite, local integrals which may be evaluated numerically; and before evaluation, it is clear that the result will be dependent only on, and is damped by increasing momentum transfer, while displaying a physically-reasonable color dependence in a manner underlying the MIT Bag Model and an effective, asymptotic freedom. Similar but more complicated integrals will result from all possible gluonic-radiative corrections to this simplest eikonal model. Our results are compatible with an earlier, field-strength analysis of Reinhardt et al.
© Springer-Verlag / Società Italiana di Fisica, 2010
