Geometry of percolating monopole clusters
P.Yu. Boyko, M.I. Polikarpov, and V.I. Zakharov
TL;DR
This paper investigates the geometric properties of monopole clusters in lattice SU(2) gluodynamics, revealing scaling behaviors and providing insights into the structure of magnetic monopoles in the confining phase.
Contribution
It offers a detailed geometric analysis of monopole clusters using the Maximal Abelian projection, highlighting their scaling behavior and point-like action characteristics.
Findings
Scaling behavior observed in geometrical quantities
Monopoles correspond to point-like particles on lattices
Geometrical analysis supports monopole confinement role
Abstract
We perform detailed measurements of the geometrical characteristics of the percolating cluster of the magnetic monopole currents in the confining phase of the lattice SU(2) gluodynamics. The Maximal Abelian projection is used to define the monopoles. The use of the geometrical language is motivated by recent observations that the full non-Abelian action associated with the monopoles corresponds to point-like particles on the currently available lattices. Scaling behavior of various quantities is observed.
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