Nonlinear Schrodinger solitons in massive Yang-Mills theory and partial localization of Dirac matter
| Autor: | Maintas, X. N., Tsagkarakis, C. E., Diakonos, F. K., Frantzeskakis, D. J. |
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| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Journal of Modern Physics; Aug2012, Vol. 3 Issue 8, p637 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4236/jmp.2012.38087 |
| Popis: | 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. Comment: 10 pages, 4 figures |
| Databáze: | arXiv |
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