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Resonant kink-antikink scattering through quasinormal modes

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arxiv 1712.10235 v2 pith:2RQAAYBW submitted 2017-12-29 hep-th

Resonant kink-antikink scattering through quasinormal modes

classification hep-th
keywords modesquasinormalmodelenergykink-antikinkapproachbackcausing
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the role that quasinormal modes can play in kink-antikink collisions, via an example based on a perturbation of the $\phi^4$ model. We find that narrow quasinormal modes can store energy during collision processes and return it back to the translational degrees of freedom. Quasinormal modes also decay, which leads to energy leakage, causing a closing of resonance windows and an increase of the critical velocity. We observe similar phenomena in an effective model, a small modification of the collective-coordinate approach to the $\phi^4$ model.

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    In a 2D dilaton-gravity model, stronger gravity shifts kink-antikink bounce windows to higher speeds and narrows them, leaves a lasting contraction of the conformal scale, and produces no curvature singularity in the ...