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.

10 pages, 4 figures

References in corpus (2)

• Infrared Gluon and Ghost Propagators
• Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case

Cited by in corpus (3)

• Oscillons and oscillating kinks in the Abelian-Higgs model
• Symmetric solitonic excitations of the (1+1)-dimensional Abelian-Higgs "classical vacuum"
• Supersymmetry and Fermionic Modes in an Oscillon Background