P-vortices and Drama of Gribov Copies
V.G. Bornyakov, D.A. Komarov, M.I. Polikarpov
TL;DR
This paper investigates the Gribov copies problem in SU(2) lattice gauge theory, revealing that it significantly affects the accuracy of P-vortices in reproducing the physical string tension, challenging previous assumptions.
Contribution
It provides a detailed analysis showing that the Gribov copies problem is more severe than previously thought, impacting the effectiveness of P-vortices in confinement studies.
Findings
Projected string tension does not match physical string tension.
No evidence that P-vortices reproduce full SU(2) string tension.
The Gribov copies problem is more severe than previously believed.
Abstract
We present results of the careful study of the Gribov copies problem in SU(2) lattice gauge theory for the direct maximal center projection widely used in confinement studies. Applying simulated annealing algorithm we demonstrate that this problem is more severe than it was thought before. The projected (gauge noninvariant) string tension is not in the agreement with the physical string tension. We do not find any indications that P-vortices reproduce the full SU(2) string tension neither in the infinite volume limit nor in the continuum limit.
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