Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-05-18
Phys.Rev.D76:114510,2007
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 9 figures, v2: minor changes, references added
Scientific paper
10.1103/PhysRevD.76.114510
We study the approach, initiated by Marinari et al., to the static inter-quark potential based on Polyakov lines of finite temporal extent, evaluated in Coulomb gauge. We show that, at small spatial separations, the potential can be understood as being between two separately gauge invariant colour charges. At larger separations Gribov copies obstruct the non-perturbative identification of individually gauge invariant colour states. We demonstrate, for the first time, how gauge invariance can be maintained quite generally by averaging over Gribov copies. This allows us to extend the analysis of the Polyakov lines and the corresponding, gauge invariant quark-antiquark state to all distance scales. Using large scale lattice simulations, we show that this interpolating state possesses a good overlap with the ground state in the quark-antiquark sector and yields the full static inter-quark potential at all distances. A visual representation of the Gribov copies on the lattice is also presented.
Heinzl Tom
Langfeld Kurt
Lavelle Martin
McMullan David
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