English

Singular gauge potentials and the gluon condensate at zero temperature

High Energy Physics - Lattice 2015-06-25 v1

Abstract

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 κ4/σ2\kappa^4/\sigma^2 fixing the residual SO(3) gluonic action relative to the string tension, the procedure is RG invariant. In the limit κ0\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 a4a^4 with β\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.

Keywords

Cite

@article{arxiv.hep-lat/0110055,
  title  = {Singular gauge potentials and the gluon condensate at zero temperature},
  author = {K. Langfeld and E. -M. Ilgenfritz and H. Reinhardt and A. Schäfke},
  journal= {arXiv preprint arXiv:hep-lat/0110055},
  year   = {2015}
}

Comments

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