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Nonlocal color interactions in a gauge-invariant formulation of QCD by Haller, Kurt; Chen, Lusheng is a scholarly article available to read on EtoBox.

What is Nonlocal color interactions in a gauge-invariant formulation of QCD about?

We construct a set of states that implement the non-Abelian Gauss's law for QCD. We also construct a set of gauge-invariant operator-valued quark and gluon fields by establishing an explicit unitary equivalence between the Gauss's law operator and the `pure glue' part of the Gauss's law operator. This unitary equivalence enables us to use the `pure glue' Gauss's law operator to represent the entire Gauss's law operator in a new representation. Since the quark field commutes with the `pure glue' Gauss's law operator, it is a gauge-invariant field in this new representation. We use the unitary equivalence of the new and the conventional representations to construct gauge-invariant quark and gluon fields in both representations, and to transform the QCD Hamiltonian in the temporal gauge so that it is expressed entirely in terms of gauge-invariant quantities. In that form, all interactions between quark fields mediated by `pure gauge' components of the gluon field have been transformed away, and replaced by a nonlocal interaction between gauge-invariant color-charge densities. This feature --- that, in gauge-invariant formulations, interactions mediated by pure gauge components of gaug

Author

Haller, Kurt; Chen, Lusheng

Published

1998

Language

EN