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Connections between kinks with different asymptotics
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Connections between kinks with different asymptotics
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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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Cited by 1 Pith paper
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Compact structures in impurity-doped vacuumless systems
Impurities preserving half the BPS sectors induce compact or half-compact stable vacuumless kinks in scalar models, which cannot form in impurity-free canonical cases.
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