A novel probe of the vacuum of the lattice gluodynamics
M. I. Polikarpov, S. N. Syritsyn, V. I. Zakharov
TL;DR
This paper introduces a gauge-invariant measure based on negative links in lattice SU(2) gluodynamics, revealing a correlation length that matches the lightest glueball mass, providing a new probe of the vacuum structure.
Contribution
It proposes a novel gauge-invariant quantity, the minimal number of negative links, and demonstrates its correlation length aligns with the lightest glueball mass.
Findings
Correlation length matches the lightest glueball mass
Negative links provide a gauge-invariant vacuum probe
New method for studying lattice gluodynamics
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.
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