Band structure in classical field theory
High Energy Physics - Theory
2009-11-07 v2 Condensed Matter
High Energy Physics - Phenomenology
Abstract
Stability and instability bands in classical mechanics are well-studied in connection with systems such as described by the Mathieu equation. We examine whether such band structure can arise in classical field theory in the context of an embedded kink in 1+1 dimensions. The static embedded kink is unstable to perturbations but we show that if the kink is dynamic it can exhibit stability in certain parameter bands. Our results are relevant for estimating the lifetimes of various embedded defects and, in particular, loops of electroweak Z-string.
Cite
@article{arxiv.hep-th/0203037,
title = {Band structure in classical field theory},
author = {Michael Salem and Tanmay Vachaspati},
journal= {arXiv preprint arXiv:hep-th/0203037},
year = {2009}
}
Comments
6 pages, 4 fig. Reference added, Fig. 3 updated with improved numerical code, minor comments added. Version to be published in Phys. Rev. D