English

Gauss's law, gauge invariance, and long-range forces in QCD

High Energy Physics - Theory 2009-10-30 v1 High Energy Physics - Phenomenology

Abstract

We use a unitary operator constructed in earlier work to transform the Hamiltonian for QCD in the temporal (A0=0A_0=0) gauge into a representation in which the quark field is gauge-invariant, and its elementary excitations -- quark and antiquark creation and annihilation operators -- implement Gauss's law. In that representation, the interactions between gauge-dependent parts of the gauge field and the spinor (quark) field have been transformed away and replaced by long-range non-local interactions of quark color charge densities. These long-range interactions connect SU(3) color charge densities through an infinite chain of gauge-invariant gauge fields either to other SU(3) color charge densities, or to a gluon "anchor". We discuss possible implications of this formalism for low-energy processes, including confinement of quarks that are not in color singlet configurations.

Keywords

Cite

@article{arxiv.hep-th/9703139,
  title  = {Gauss's law, gauge invariance, and long-range forces in QCD},
  author = {Mario Belloni and Lusheng Chen and Kurt Haller},
  journal= {arXiv preprint arXiv:hep-th/9703139},
  year   = {2009}
}

Comments

9 pages, LaTeX, uses REVTeX