Cyclically Deformed Defects and Topological Mass Constraints
| Autor: | A. E. Bernardini, Roldão da Rocha |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: | |
| Zdroj: | Advances in High Energy Physics, Vol 2013 (2013) |
| Druh dokumentu: | article |
| ISSN: | 1687-7357 1687-7365 |
| DOI: | 10.1155/2013/304980 |
| Popis: | A systematic procedure for obtaining defect structures through cyclic deformation chains is introduced and explored in detail. The procedure outlines a set of rules for analytically constructing constraint equations that involve the finite localized energy of cyclically generated defects. The idea of obtaining cyclically deformed defects concerns the possibility of regenerating a primitive (departing) defect structure through successive, unidirectional, and eventually irreversible, deformation processes. Our technique is applied on kink-like and lump-like solutions in models described by a single real scalar field such that extensions to quantum mechanics follow the usual theory of deformed defects. The preliminary results show that the cyclic device supports simultaneously kink-like and lump-like defects into 3- and 4-cyclic deformation chains with topological mass values closed by trigonometric and hyperbolic deformations. In a straightforward generalization, results concerning the analytical calculation of N-cyclic deformations are obtained, and lessons regarding extensions from more elaborated primitive defects are depicted. |
| Databáze: | Directory of Open Access Journals |
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