Gribov Noise on the Lattice Axial Current Renormalisation Constant

Details Gribov Noise on the Lattice Axial Current Renormalisation Constant Gribov Noise on the Lattice Axial Current Renormalisation Constant

1994-09-15

arxiv.org/abs/hep-lat/9409012v1

Phys.Lett. B341 (1994) 187-194

Physics

High Energy Physics

High Energy Physics - Lattice

17pp (including figures), LaTeX

Scientific paper

10.1016/0370-2693(94)90309-3

We study the influence of Gribov copies, in the Landau gauge, on the lattice renormalisation constant of the axial current, obtained from a Ward identity on quark state correlation functions, with the Clover action, in quenched SU(3) gauge theory. A comparison between the gauge invariant determination of the renorma= lization constant and the gauge dependent one is discussed. We find that the residual gauge freedom associated to Gribov copies induces observable effects, which, at the level of numerical accuracy of our simulation, are included in the statistical uncertainty inherent in a Monte Carlo simulation. Doubling the statistics suggests that the fluctuation due to the lattice Gribov ambiguity scales down at least as fast as a pure statistical error.

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