Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-12-27
Nucl.Phys.Proc.Suppl. 108 (2002) 74-78
Physics
High Energy Physics
High Energy Physics - Theory
5 pages LaTex; talk presented at light-cone workshop "Particles and Strings", Trento, Italy, September 2001
Scientific paper
10.1016/S0920-5632(02)01307-5
We review the implementation, in a temporal-gauge formulation of QCD, of the non-Abelian Gauss's law and the construction of gauge-invariant gauge and matter fields. We then express the QCD Hamiltonian in terms of these gauge-invariant operator-valued fields, and discuss the relation of this Hamiltonian and the gauge-invariant fields to the corresponding quantities in a Coulomb gauge formulation of QCD. We argue that a representation of QCD in terms of gauge-invariant quantities could be particularly useful for understanding low-energy phenomenology. We present the results of an investigation into the topological properties of the gauge-invariant fields, and show that there are Gribov copies of these gauge-invariant gauge fields, which are constructed in the temporal gauge, even though the conditions that give rise to Gribov copies do not obtain for the gauge-dependent temporal-gauge fields.
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