Lorentz-violating effects on topological defects generated by two real scalar fields

Details Lorentz-violating effects on topological defects generated by two real scalar fields Lorentz-violating effects on topological defects generated by two real scalar fields

2010-01-28

arxiv.org/abs/1001.5286v1

Physica D239:942-947,2010

Physics

High Energy Physics

High Energy Physics - Theory

(9 pages, 11 figures)

Scientific paper

10.1016/j.physd.2010.01.015

The influence of a Lorentz-violation on soliton solutions generated by a system of two coupled scalar fields is investigated. Lorentz violation is induced by a fixed tensor coefficient that couples the two fields. The Bogomol'nyi method is applied and first-order differential equations are obtained whose solutions minimize energy and are also solutions of the equations of motion. The analysis of the solutions in phase space shows how the stability is modified with the Lorentz violation. It is shown explicitly that the solutions preserve linear stability despite the presence of Lorentz violation. Considering Lorentz violation as a small perturbation, an analytical method is employed to yield analytical solutions.

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