Kink properties in Lorentz-violating scalar field theory

Abstract

We consider topological defects for the $\lambda {\varphi }^4$ theory in (1+1) dimensions with a Lorentz-violating background. It has been shown, by M. Barreto et al. (2006) \cite{barreto2006defect}, one cannot have original effects in (the leading order of) single scalar field model. Here, we introduce a new Lorentz-violating term, next to leading order which cannot be absorbed by any redefinition of the scalar field or coordinates. Our term is the lowest order term which leads to concrete effects on the kink properties. We calculate the corrections to the kink shape and the corresponding mass. Quantization of the kink is performed and the revised modes are obtained. We find the bound and continuum states are affected due to this Lorentz symmetry violation.

arXiv comment18 pages, 2 figures, elsarticle format, to appear in NPB

References in corpus (24)

• Lorentz-Violating Extension of the Standard Model
• Noncommutative Perturbative Dynamics
• Noncommutative Field Theory and Lorentz Violation
• CPT, Strings, and Meson Factories
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• What Do We Know About Lorentz Invariance?
• Lorentz-Violating Electrostatics and Magnetostatics
• Non-Minimal Coupling to a Lorentz-Violating Background and Topological Implications
• On the aether-like Lorentz-breaking actions
• Aether Compactification
• Energy, Central Charge, and the BPS Bound for 1+1 Dimensional Supersymmetric Solitons
• Instanton Effects in QCD at High Baryon Density
• Defect Structures in Lorentz and CPT Violating Scenarios
• Casimir effects in Lorentz-violating scalar field theory
• Classical Solutions in a Lorentz-violating Scenario of Maxwell-Chern-Simons-Proca Electrodynamics
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Dimensional Reduction of the Abelian-Higgs Carroll-Field-Jackiw Model
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Global Defects In Theories With Lorentz Symmetry Violation
• NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory
• Lorentz violation parameters and noncommutative scale
• Solitons in (1,1)-supersymmetric massive sigma model
• The ${\varphi }^4$ kink on a wormhole spacetime