Q-capacitor formulation of the ℂPN nonlinear sigma model

Abstract

A multi-component ℂPN model’s scalar electrodynamics is investigated. The model contains Q-balls/shells, which are non-topological compact solitons with time dependency eiωt . Because of the compacton nature of solutions, Q-shells with another compact Q-ball or Q-shell inside their cavity can exist. Even if compactons do not overlap, they can interact with one another via the electromagnetic field. They look similar to the capacitor in the standard electromagnetism. We focus on the structure of such Q-capacitor with opposite charges.