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New twinlike models for scalar fields

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arxiv 2009.01613 v1 pith:45PNETNE submitted 2020-09-03 hep-th

New twinlike models for scalar fields

classification hep-th
keywords stabilitytwinlikeequationsmodelssamescalarunderaddition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This work investigates twinlike scalar field models that support kinks with the same energy density and stability. We find the first order equations compatible with the equations of motion. We use them to calculate the conditions under which they attain the twinlike character. The linear stability is also investigated, and there we show that the addition of extra requirements may lead to the same stability under small fluctuations.

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