P-vortices, nexuses and effects of Gribov copies in the center gauges

TL;DR

This paper investigates the impact of Gribov copies on SU(2) lattice gauge theory in center gauges, revealing significant issues with string tension measurements and highlighting the potential role of nexuses in confinement.

Contribution

It provides a detailed analysis of Gribov copies in SU(2) center gauges and explores the importance of nexuses for understanding confinement mechanisms.

Findings

Gribov copies problem is more severe than previously thought.

Projected string tension does not match physical string tension.

Nexuses may play a crucial role in confinement dynamics.

Abstract

We perform the careful study of the Gribov copies problem in SU(2) lattice gauge theory for maximal direct and maximal indirect center projections. We find that this problem is much more severe than it was thought before. The projected string tension is not in agreement with the physical string tension. We also show that the particle--like objects, nexuses, might be important for the confinement dynamics.