Abstract
The center vortex model of quantum-chromodynamics can explain confinement and chiral symmetry breaking. We present a possible resolution for problems of the vortex detection in smooth configurations and discuss improvements for the detection of center vortices.
Highlights
The center vortex model assumes that the relevant excitations of the QCD vacuum are center vortices, closed color magnetic flux lines evolving in time
Problems in detecting center vortices due to ambiguities in the gauge-fixing procedure were already found by Kovacs and Tomboulis [6]. They point out that the thickness of vortices is of importance for the extraction of properties related to confinement. We found that this thickness can cause troubles in the vortex detection, resulting in a loss of the string tension
We model the influence of cooling on the vortex thickness and the corresponding loss of the vortex density
Summary
The center vortex model assumes that the relevant excitations of the QCD vacuum are center vortices, closed color magnetic flux lines evolving in time. It can explain Confinement [1] and chiral symmetry breaking [2,3,4]. Problems in detecting center vortices due to ambiguities in the gauge-fixing procedure were already found by Kovacs and Tomboulis [6] They point out that the thickness of vortices is of importance for the extraction of properties related to confinement. An upper limit for the lattice spacing and a lower limit for the lattice size is presented These limits are derived from measurements of the vortex density and estimates of the cross-section of flux tubes
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