A General Method for Transforming Nonphysical Configurations in BPS States

Correa, R. A. C.  (Instituto Tecnológico de Aeronáutica, DCTA, 12228-900 São José dos Campos, SP, Brazil) (Scuola Internazionale Superiore di Studi Avanzati (SISSA), Via Bonomea 265, 34136 Trieste, Italy) ; Santos, J. R. L. (Unidade Acadêmica de Física, Universidade de Federal de Campina Grande, 58109-970 Campina Grande, PB, Brazil) ; Dutra, A. de Souza (São Paulo State University (UNESP), Campus de Guaratinguetá-DFQ, Avenida Dr. Ariberto Pereira da Cunha 333, 12516-410 Guaratinguetá, SP, Brazil) ; Winter, O. C. (São Paulo State University (UNESP), Campus de Guaratinguetá-DFQ, Avenida Dr. Ariberto Pereira da Cunha 333, 12516-410 Guaratinguetá, SP, Brazil)

05 March 2019

Abstract: In this work, we apply the so-called BPS method in order to obtain topological defects for a complex scalar field Lagrangian introduced by Trullinger and Subbaswamy. The BPS approach led us to compute new analytical solutions for this model. In our investigation, we found analytical configurations which satisfy the BPS first-order differential equations but do not obey the equations of motion of the model. Such defects were named nonphysical ones. In order to recover the physical meaning of these defects, we proposed a procedure which can transform them into BPS states of new scalar field models. The new models here founded were applied in the context of hybrid cosmological scenarios, where we derived cosmological parameters compatible with the observed Universe. Such a methodology opens a new window to connect different two scalar fields systems and can be implemented in several distinct applications such as Bloch Branes, Lorentz and Symmetry Breaking Scenarios, Q-Balls, Oscillons, Cosmological Contexts, and Condensed Matter Systems.


Published in: Advances in High Energy Physics 2019 (2019) 5431067
Published by: Hindawi
DOI: 10.1155/2019/5431067
arXiv: 1809.04661
License: CC-BY-3.0



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