Solitary Waves and Vortices in Non-Abelian Gauge Theories with Matter

Author:

Benci Vieri12,Bonanno Claudio1

Affiliation:

1. Dipartimento di Matematica Applicata Università di Pisa, 56127 Pisa, Italy

2. Department of Mathematics, College of Science King Saud University, Riyadh, 11451, Saudi Arabia

Abstract

Abstract We consider a non-Abelian gauge theory in ℝ4 equipped with the Minkowski metric, which provides a model for the interaction between a bosonic matter field and a gauge field with gauge group S U(2). We prove the existence of solitary waves which are related to those found for the Klein-Gordon-Maxwell equations.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

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