Abstract
We study the presence of kinks in models described by two real scalar fields in bidimensional spacetime. We generate new two-field models, constructed from distinct but important one-field models, and we solve them with techniques that we introduce in the current work. We illustrate the results with several examples of current interest to high energy physics.
Highlights
The presence of kinks and solitons in models described by real scalar fields is of direct interest to high energy physics [1, 2] and other areas of nonlinear science [3, 4]
In high energy physics kinks appear in very interesting systems introduced, for instance, in [5, 6]
In this work we focus on one-field and two-field models in (1, 1) spacetime dimensions
Summary
The presence of kinks and solitons in models described by real scalar fields is of direct interest to high energy physics [1, 2] and other areas of nonlinear science [3, 4]. The main feature of the family of kinks arising in this family is that the Hamiltonians governing the kink small fluctuations cover many of the remaining transparent SUSY Hamiltonians; see [13] We start with these one-field models, which are described by polynomial and nonpolynomial W = W(φ), and we move on to the two-field models constructed from the previous ones. In this work we develop a technique which generates twocomponent kink solutions for two-field models in a straightforward while way avoiding the use of the trial and error method mentioned by Rajaraman.
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