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arXiv · hep-th/9703139

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

Mario Belloni·Lusheng Chen·Kurt Haller
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Abstract

We use a unitary operator constructed in earlier work to transform the Hamiltonian for QCD in the temporal ($A_0=0$) 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.

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Mario Belloni, Lusheng Chen, Kurt Haller. 1997-03-19. Gauss's law, gauge invariance, and long-range forces in QCD. https://doi.org/10.1016/s0370-2693(97)00522-4

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