Abstract
The impact of $SU(3)$ center vortices on the gluon propagator in Landau gauge is investigated on original, vortex-removed and vortex-only lattice gauge field configurations. Vortex identification is found to partition the gluon propagator into short-range strength on the vortex-removed configurations and long-range strength on the vortex-only configurations. The effect of smoothing vortex-only configurations is also studied, and a regime for recovering the form of the smoothed original propagator from vortex-only configurations is introduced. The results reinforce the significance of center vortices in a fundamental understanding of QCD vacuum structure.
Highlights
There is significant evidence supporting the role of center vortices in confinement and dynamical chiral symmetry breaking in QCD
II, we renormalize such that q2Dðq2Þ 1⁄4 1 for qa 1⁄4 3.0 on the original configurations, and apply this same renormalization factor to the vortex removed and vortex only propagators
The vortex removed configurations display the expected behavior, with vortex removal corresponding to significant infrared suppression of the propagator when compared to the untouched propagator, in agreement with the results of Ref. [12]
Summary
Previous work has successfully shown that vortex removal in SUð3Þ corresponds to a loss of dynamical mass generation and string tension [5,6]. Studies of the overlap fermion quark propagator have found that by starting from the vortex-only fields, which consist only of the center elements of SUð3Þ, and through the application of a link smoothing algorithm, one is able to reproduce all the salient features of QCD, including confinement [13], dynamical mass generation [6], and the low-lying hadron spectrum [14]. The purpose of this investigation is to identify whether it is possible to reproduce a gluon propagator indicative of confining behavior on vortex-only configurations
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