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Kink-antikink scattering in the φ⁴ model without static intersoliton forces

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arxiv 1909.06901 v2 pith:MJP77N55 submitted 2019-09-15 hep-th

Kink-antikink scattering in the φ⁴ model without static intersoliton forces

classification hep-th
keywords spectralwallshigherkink-antikinkmodelorderscatteringstatic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Kink-antikink scattering in the $\phi^4$ model is investigated in the limit when the static inter-soliton force vanishes. We observe the formation of spectral walls and, further, identify a new phenomenon, the vacuum wall, whose existence gives rise to a bouncing structure for the annihilating solitons. Furthermore, we discover higher order spectral walls, i.e., spectral walls which form when higher harmonics enter the continuous spectrum. These higher order spectral walls not only deform the soliton trajectories, they also can be observed easily as very intense radiation bursts.

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    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.