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arXiv · 1306.6765

Nonlinear Schrodinger solitons in massive Yang-Mills theory and partial localization of Dirac matter

X. N. Maintas·C. E. Tsagkarakis·F. K. Diakonos·D. J. Frantzeskakis
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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.

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X. N. Maintas, C. E. Tsagkarakis, F. K. Diakonos, D. J. Frantzeskakis. 2013-06-28. Nonlinear Schrodinger solitons in massive Yang-Mills theory and partial localization of Dirac matter. https://doi.org/10.4236/jmp.2012.38087

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