Field-theoretic Models with V-shaped Potentials

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dc.creatorArodz, H.
dc.creatorKlimas, P.
dc.creatorTyranowski, T.
dc.date2005-10-24
dc.date.accessioned2026-07-07T06:46:56Z
dc.date.available2026-07-07T06:46:56Z
dc.descriptionIn this lecture we outline the main results of our investigations of certain field-theoretic systems which have V-shaped field potential. After presenting physical examples of such systems, we show that in static problems the exact ground state value of the field is achieved on a finite distance - there are no exponential tails. This applies in particular to soliton-like object called the topological compacton. Next, we discuss scaling invariance which appears when the fields are restricted to small amplitude perturbations of the ground state. Evolution of such perturbations is governed by nonlinear equation with a non-smooth term which can not be linearized even in the limit of very small amplitudes. Finally, we briefly describe self-similar and shock wave solutions of that equation.
dc.descriptionPresented at the XLV Cracow School of Theoretical Physics, Zakopane, Poland, June 2005. 18 pages, 6 .eps figures. To appear in the special issue of Acta Phys. Pol. B (Proceedings)
dc.identifierhttps://arxiv.org/abs/hep-th/0510204
dc.identifierhttp://arxiv.org/abs/hep-th/0510204
dc.identifierActa Phys.Polon. B36 (2005) 3861-3876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103502
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.titleField-theoretic Models with V-shaped Potentials
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