Forced Topological Nontrivial Field Configurations
V.G. Kiselev (Institute of Medicine, Research Centre Juelich, Germany), and Ya.M. Shnir (DAMTP, University of Cambridge, UK)
TL;DR
This paper investigates how nontrivial topological field configurations like kinks and monopoles interact with external fields, focusing on zero mode excitations and their energy losses, using perturbative methods.
Contribution
It introduces a perturbative approach to analyze the excitation of zero modes in topological configurations under external fields, including monopoles and kinks.
Findings
Zero mode excitation probabilities can be calculated perturbatively.
External fields induce energy losses in topological configurations.
Monopole displacement can be modeled via zero mode excitation.
Abstract
The motion of a one-dimensional kink and its energy losses are considered as a model of interaction of nontrivial topological field configurations with external fields. The approach is based on the calculation of the zero modes excitation probability in the external field. We study in the same way the interaction of the t'Hooft-Polyakov monopole with weak external fields. The basic idea is to treat the excitation of a monopole zero mode as the monopole displacement. The excitation is found perturbatively. As an example we consider the interaction of the t'Hooft-Polyakov monopole with an external uniform magnetic field.
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