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Advances in High Energy Physics
Volume 2015, Article ID 673716, 17 pages
http://dx.doi.org/10.1155/2015/673716
Research Article

Coupled Scalar Fields Oscillons and Breathers in Some Lorentz Violating Scenarios

1CCNH, Universidade Federal do ABC, 09210-580 Santo André, SP, Brazil
2UNESP-Campus de Guaratinguetá, 12516-410 Guaratinguetá, Italy

Received 12 December 2014; Revised 26 February 2015; Accepted 27 February 2015

Academic Editor: Elias C. Vagenas

Copyright © 2015 R. A. C. Correa and A. de Souza Dutra. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We discuss the impact of the breaking of the Lorentz symmetry on the usual oscillons, the so-called flat-top oscillons, and the breathers. Our analysis is performed by using a Lorentz violation scenario rigorously derived in the literature. We show that the Lorentz violation is responsible for the origin of a kind of deformation of the configuration, where the field configuration becomes oscillatory in a localized region near its maximum value. Furthermore, we show that the Lorentz breaking symmetry produces a displacement of the oscillon along the spatial direction; the same feature is present in the case of breathers. We also show that the effect of a Lorentz violation in the flat-top oscillon solution is responsible by the shrinking of the flat-top. Furthermore, we find analytically the outgoing radiation; this result indicates that the amplitude of the outgoing radiation is controlled by the Lorentz breaking parameter, in such a way that this oscillon becomes more unstable than its symmetric counterpart; however, it still has a long living nature.