Novel probe of the vacuum of the lattice gluodynamics
M. I. Polikarpov+, S. N. Syritsyn+, V. I. Zakharov*
+Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia
*Max-Planck Institut für Physik, 80805 München, Germany
PACS: 11.15.-q, 11.15.Ha, 12.38.Gc
Abstract
We introduce a notion of minimal number of negative links on the
lattice for a given original configuration of SU(2) fields. Negative links
correspond to a large potential, not necessarily large action. The idea is
that the minimal number of negative links is a gauge invariant notion. To
check this hypothesis we measure correlator of two negative links, averaged
over all the directions, as function of the distance between the links. The
inverse correlation length coincides within the error bars with the lightest
glueball mass.