Solitons in a class of interacting scalar field theories without invariance
arXiv:1811.09624 · doi:10.1142/S0217751X21500767
Abstract
In this article, we study kink soliton configurations in interacting scalar field theories containing two fields without invariance. We study a class of such theories, the well-known Montonen-Sarker-Trullinger-Bishop model is one of them. These models are interesting since the current is not conserved in them due to the presence of explicit symmetry breaking terms in the action. The existence of kink soliton configurations is shown in terms of a system of first-order ordinary differential equations. Although current in these models are non-conserved, our approach is general enough to study soliton configurations in a generic two interacting scalar field theory. We also discuss other benefits of this approach.
arXiv comment14 pages, 9 figures
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