Towards understanding structure of the monopole clusters
M.N. Chernodub, V.I. Zakharov
TL;DR
This paper investigates the geometric properties of monopole clusters in lattice SU(2) gluodynamics, demonstrating that percolation theory effectively models their distribution and reveals insights into the system's ground state.
Contribution
It introduces a polymer approach to describe monopole clusters and connects their geometrical features with the ground state properties of the system.
Findings
Percolation theory reproduces cluster size and radius distributions.
Geometrical features of the percolating cluster reflect the system's ground state.
Finite and infinite monopole clusters exhibit distinct geometrical characteristics.
Abstract
We consider geometrical characteristics of monopole clusters of the lattice SU(2) gluodynamics. We argue that the polymer approach to the field theory is an adequate means to describe the monopole clusters. Both finite-size and the infinite, or percolating clusters are considered. We find out that the percolation theory allows to reproduce the observed distribution of the finite-size clusters in their length and radius. Geometrical characteristics of the percolating cluster reflect, in turn, the basic properties of the ground state of a system with a gap.
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