Nonlinear Schroedinger Solitons in Massive Yang-Mills Theory and Partial Localization of Dirac Matter

• 作者: Charilaos E. Tsagkarakis Dimitrios J. Frantzeskakis Fotios K. Diakonos Xanthos N. Maintas
• 来源期刊: 现代物理(英文)
• 学科: 数学
• 关键词: YANG-MILLS SOLITONS Non-Linear SCHROEDINGER Equation DIRAC FERMIONS LOCALIZATION
• 年，卷（期）: 2012,（8）
• 页码范围: 637-644
• 页数: 8页
• 分类号: O1

摘要

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.