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Nonlinear Schroedinger Solitons in Massive Yang-Mills Theory and Partial Localization of Dirac Matter
Department of Physics, University of Athens, GR-15771 Athens, Greece
Department of Physics, University of Athens, GR-15771 Athens, Greece
Department of Physics, University of Athens, GR-15771 Athens, Greece
Department of Physics, University of Athens, GR-15771 Athens, Greece
- 1 Department of Physics, University of Athens, GR-15771 Athens, Greece
- 2 Department of Physics, University of Athens, GR-15771 Athens, Greece
- 3 Department of Physics, University of Athens, GR-15771 Athens, Greece
- 4 Department of Physics, University of Athens, GR-15771 Athens, Greece
Journal of Modern Physics·Volume 03 (2012)·Pages 637–644·Published 14 August 2012·DOI10.4236/jmp.2012.38087
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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.
KeywordsYang-Mills SolitonsNon-Linear Schroedinger EquationDirac FermionsLocalization
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