Kinklike structures in scalar field theories: from one-field to two-field models

Abstract

In this paper we study the possibility of constructing two-field models from one-field models. The idea is to start with a given one-field model and use the deformation procedure to generate another one-field model, and then couple the two one-field models nontrivially, to get to a two-field model, together with some explicit topological solutions. We show with several distinct examples that the procedure works nicely and can be used generically.

8 pages; version to appear in Phys. Lett. A

References in corpus (7)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• A Field Theory Model for Dark Matter and Dark Energy in Interaction
• Scalar fields, bent branes, and RG flow
• Kinks in a non-linear massive sigma model
• General solutions for some classes of interacting two field kinks
• Two-scalar-field model for the interaction of dark energy and dark matter

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