Singular gauge potentials and the gluon condensate at zero temperature

Details Singular gauge potentials and the gluon condensate at zero temperature Singular gauge potentials and the gluon condensate at zero temperature

2001-10-12

arxiv.org/abs/hep-lat/0110055v1

Nucl.Phys.Proc.Suppl. 106 (2002) 658-660

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 4 figures, Contribution to ''Lattice 2001'' (confinement) to appear in the Proceedings (Nucl. Phys. B Proc. Suppl.)

Scientific paper

We consider a new cooling procedure which separates gluon degrees of freedom from singular center vortices in SU(2) LGT in a gauge invariant way. Restricted by a cooling scale $\kappa^4/\sigma^2$ fixing the residual SO(3) gluonic action relative to the string tension, the procedure is RG invariant. In the limit $\kappa \to 0$ a pure Z(2) vortex texture is left. This {\it minimal} vortex content does not contribute to the string tension. It reproduces, however, the lowest glueball states. With an action density scaling like $a^4$ with $\beta$, it defines a finite contribution to the action density at T=0 in the continuum limit. We propose to interpret this a mass dimension 4 condensate related to the gluon condensate. Similarly, this vortex texture is revealed in the Landau gauge.

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