What can we learn about Gribov copies from a formulation of QCD in terms of gauge-invariant fields?

Details What can we learn about Gribov copies from a formulation of QCD in terms of gauge-invariant fields? What can we learn about Gribov copies from a formulation of QCD in terms of gauge-invariant fields?

2002-01-10

arxiv.org/abs/hep-th/0201069v1

Physics

High Energy Physics

High Energy Physics - Theory

To appear in Proceedings of the 6th Workshop on Non-Perturbative QCD, Paris, France, June 5-9, 2001

Scientific paper

We review the procedure by which we implemented the non-Abelian Gauss's law and constructed gauge-invariant fields for QCD in the temporal (Weyl) gauge. We point out that the operator-valued transformation that transforms gauge-dependent temporal-gauge fields into gauge-invariant ones has the formal structure of a gauge transformation. We express the ``standard'' Hamiltonian for temporal-gauge QCD entirely in terms of gauge-invariant fields, calculate the commutation rules for these fields, and compare them to earlier work on Coulomb-gauge QCD. We also discuss multiplicities of gauge-invariant temporal-gauge fields that belong to different topological sectors and that, in previous work, were shown to be based on the same underlying gauge-dependent temporal-gauge fields. We relate these multiplicities of gauge-invariant fields to Gribov copies. We argue that Gribov copies appear in the temporal gauge, but not when the theory is represented in terms of gauge-dependent fields and Gauss's law is left unimplemented. There are Gribov copies of the gauge-invariant gauge field, which can be constructed when Gauss's law is implemented.

Affiliated with

Also associated with

No associations

Rating

What can we learn about Gribov copies from a formulation of QCD in terms of gauge-invariant fields? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with What can we learn about Gribov copies from a formulation of QCD in terms of gauge-invariant fields?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and What can we learn about Gribov copies from a formulation of QCD in terms of gauge-invariant fields? will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-279319