Traveling solitons in Lorentz-violating systems

Abstract

In this work we present a class of traveling solitons in Lorentz-violating systems. In the case of Lorentz violating scenarios, it is usual to construct static solitonic configurations. Here it is shown that it is possible to construct some traveling solitons which, as it should be expected, can not be mapped into a static configuration by means of Lorentz boosts due to its explicit breaking. Furthermore, in the model studied, a complete set of solutions is obtained. The solutions present a critical behavior controlled by the choose of an arbitrary integration constant.

11 pages, 3 figures

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• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
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• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
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• Aspects of a planar nonbirefringent and CPT-even electrodynamics stemming from the Standard Model Extension
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• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
• Consistency analysis of a nonbirefringent Lorentz-violating planar model
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• D-Oscillons in the Standard Model-Extension
• Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• The 4D-2D projection of Lorentz-violating Myers-Pospelov QED
• Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Cosmological scenarios from multiquintessence
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• Creating Oscillons and Oscillating Kinks in Two Scalar Field Theories
• Two-dimensional Lorentz-violating Casimir effect
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
• Modeling Dark Matter Halos with Nonlinear Field Theories