Space clusters of magnetic currents in modified U(1) gauge model: Geometrical approach

Abstract

The aim of this work is to study the spatial arrangement of magnetic currents in lattice compact electrodynamics with additional magnetic number chemical potential introduced. The behavior of the magnetic currents’ correlator on the plane of model parameters indicates the presence of several phases. By considering the mutual arrangement of microscopic currents in 4D space, two methods of geometric description of the magnetic currents’ properties are formulated. An analysis of the trends in the behavior of their characteristics shows a systematic change under the magnetic number chemical potential’s increase.