Nonlinear Schrodinger solitons in massive Yang-Mills theory and partial localization of Dirac matter
Abstract
We investigate the classical dynamics of the massive SU(2) Yang-Mills field in the framework of multiple scale perturbation theory. We show analytically that there exists a subset of solutions having the form of a kink soliton, modulated by a plane wave, in a linear subspace transverse to the direction of free propagation. Subsequently, we explore how these solutions affect the dynamics of a Dirac field possessing an SU(2) charge. We find that this class of Yang-Mills configurations, when regarded as an external field, leads to the localization of the fermion along a line in the transverse space. Our analysis reveals a mechanism for trapping SU(2) charged fermions in the presence of an external Yang-Mills field indicating the non-abelian analogue of Landau localization in electrodynamics.
Keywords
Cite
@article{arxiv.1306.6765,
title = {Nonlinear Schrodinger solitons in massive Yang-Mills theory and partial localization of Dirac matter},
author = {X. N. Maintas and C. E. Tsagkarakis and F. K. Diakonos and D. J. Frantzeskakis},
journal= {arXiv preprint arXiv:1306.6765},
year = {2013}
}
Comments
10 pages, 4 figures