Gauge-Invariant QCD - an Approach to Long-Range Color-Confining Forces
Abstract
We discuss the transformation of the QCD temporal-gauge Hamiltonian to a representation in which it can be expressed as a functional of gauge-invariant quark and gluon fields. We show how this objective can be realized by implementing the non-Abelian Gauss's law, and by using the mathematical apparatus developed for that purpose to also construct gauge-invariant quark and gluon fields. We demonstrate that, in the transformed QCD Hamiltonian, the interactions of pure-gauge components of the gauge field with color-current densities are replaced by nonlocal interactions connecting quark color-charge densities to each other and to `glue'-color. We discuss the nonperturbative evaluation of these nonlocal interactions, which are non-Abelian analogs of the Coulomb interaction in QED, and we explore their implications for QCD in the low-energy regime.
Keywords
Cite
@article{arxiv.hep-th/9808028,
title = {Gauge-Invariant QCD - an Approach to Long-Range Color-Confining Forces},
author = {Kurt Haller},
journal= {arXiv preprint arXiv:hep-th/9808028},
year = {2007}
}
Comments
8 pages. Talk delivered at the Fourth International Workshop on QCD and Hadronic Physics, Paris, France, June 1 - 7, 1998. A numerical error is corrected