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Cuscuton kinks and branes

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arxiv 1806.01923 v2 pith:H7LD6PQX submitted 2018-06-05 hep-th

Cuscuton kinks and branes

classification hep-th
keywords modelcuscutonenergyequationfirstinvestigateinvestigatedkinks
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this paper, we study a peculiar model for the scalar field. We add the cuscuton term in a standard model and investigate how this inclusion modifies the usual behavior of kinks. We find the first order equations and calculate the energy density and the total energy of the system. Also, we investigate the linear stability of the model, which is governed by a Sturm-Liouville eigenvalue equation that can be transformed in an equation of the Shcr\"odinger type. The model is also investigated in the braneworld scenario, where a first order formalism is also obtained and the linear stability is investigated.

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