Towards understanding structure of the monopole clusters

Details Towards understanding structure of the monopole clusters Towards understanding structure of the monopole clusters

2002-11-27

arxiv.org/abs/hep-th/0211267v1

Nucl.Phys. B669 (2003) 233-254

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, RevTeX4

Scientific paper

10.1016/j.nuclphysb.2003.07.019

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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