Two field BPS solutions for generalized Lorentz breaking models

Abstract

In this work we present nonlinear models in two-dimensional space-time of two interacting scalar fields in the Lorentz and CPT violating scenarios. We discuss the soliton solutions for these models as well as the question of stability for them. This is done by generalizing a model recently published by Barreto and collaborators and also by getting new solutions for the model introduced by them.

12 pages, 2 figures

References in corpus (12)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• CPT and Lorentz Tests in Penning Traps
• Solitons in systems of coupled scalar fields
• The Cherenkov effect in Lorentz-violating vacua
• Bags, junctions, and networks of BPS and non-BPS defects
• Defect Structures in Lorentz and CPT Violating Scenarios
• Tiling the plane without supersymmetry
• General solutions for some classes of interacting two field kinks
• Nonlinear QED and Physical Lorentz Invariance
• Soliton model for proton conductivity in Langmuir films
• Lorentz-breaking effects in scalar-tensor theories of gravity

Cited by in corpus (24)

• Degenerate and critical Bloch branes
• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Traveling solitons in Lorentz-violating systems
• Classical behavior of deformed sine-Gordon models
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Information-Entropic Measure of Energy-Degenerate Kinks in Two-Field Models
• Analogue Aharonov-Bohm effect in neo-Newtonian theory
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• First-order formalism for twinlike models with several real scalar fields
• Expanding the class of general exact solutions for interacting two field kinks
• Consistency analysis of a nonbirefringent Lorentz-violating planar model
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• Coupled scalar fields Oscillons and Breathers in some Lorentz Violating Scenarios
• D-Oscillons in the Standard Model-Extension
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
• New models for asymmetric kinks and branes
• Geometrically constrained multifield models with BNRT solutions
• 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
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials