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arXiv · 2401.03569

Connections between kinks with different asymptotics

Vakhid A. Gani·Aliakbar Moradi Marjaneh
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Abstract

In this letter, we show how to build bridges between field-theoretic models that have kink solutions with different asymptotic behavior. We study transformational properties of kinks in models with a real scalar field in two-dimensional space-time. We show how to obtain new models with solitons having different asymptotic behavior, using deformations with specific functions. In particular, starting from the well-known $\varphi^4$ model, we obtain kinks with super-exponential, super-super-exponential, power-law, and logarithmic asymptotics. We also comment on how asymptotic behavior of stability potential and zero mode can be obtained for deformed kinks.

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Vakhid A. Gani, Aliakbar Moradi Marjaneh. 2024-01-07. Connections between kinks with different asymptotics. https://doi.org/10.1209/0295-5075%2Fad8183

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