P-vortices, nexuses and effects of gauge copies
V. G. Bornyakov, D. A. Komarov, M. I. Polikarpov, A. I. Veselov

TL;DR
This paper investigates the gauge copies problem in SU(2) lattice gauge theory, finding that the direct center projection gauge is unsuitable for studying center vortices and highlighting the significance of nexuses in confinement.
Contribution
It demonstrates the inadequacy of the direct center projection gauge for vortex studies and emphasizes the role of nexuses in confinement mechanisms.
Findings
Direct center projection gauge is unsuitable for vortex analysis
Nexuses are crucial for understanding confinement
Gauge copies problem affects vortex identification
Abstract
We perform the careful study of the gauge copies problem for the direct center projection in SU(2) lattice gauge theory. Our results indicate that this gauge is not appropriate for the investigation of the center vortices. We also show that the point-like objects, nexuses, are important for the confinement dynamics.
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