A novel probe of the vacuum of the 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.

arXiv comment6 pages, 2 figures

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• QCD and strongly coupled gauge theories: challenges and perspectives
• Chiral Symmetry Breaking on the Lattice
• On topological properties of vacuum defects in lattice Yang-Mills theories
• Fractal dimension of the topological charge density distribution in SU(2) lattice gluodynamics
• Center flux correlation in SU(2) Yang-Mills theory
• On the Continuum Limit of Topological Charge Density Distribution