Defect Structures in Lorentz and CPT Violating Scenarios

Abstract

We investigate models described by real scalar fields, searching for defect structures in the presence of interactions which explicitly violate Lorentz and CPT symmetries. We first deal with a single field, and we investigate a class of models which supports traveling waves that violate Lorentz invariance. This scenario is then generalized to the case of two (or more) real scalar fields. In the case of two fields, in particular, we introduce another class of models, which supports topological structures that attain a Bogomol'nyi bound, although violating both Lorentz and CPT symmetries. An example is considered, for which we construct the Bogomol'nyi bound and find some explicit solutions. We show that violation of both Lorentz and CPT symmetries induces the appearance of an asymmetry between defects and anti-defects, including the presence of linearly stable solutions with negative energy density in their outer side.

9 pages, 4 figures; several new additions, main results unchanged

References in corpus (7)

• Tachyon Dynamics in Open String Theory
• New results for deformed defects
• Gap solitons in a model of a hollow optical fiber
• Global Defects In Theories With Lorentz Symmetry Violation
• Changing shapes: adiabatic dynamics of composite solitary waves
• On the Lorentz symmetry of the noncommutative chiral bosons
• Domain Walls in Noncommutative Field Theories

Cited by in corpus (61)

• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling
• Riemann-Finsler Geometry and Lorentz-Violating Scalar Fields
• Degenerate and critical Bloch branes
• Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
• Deformed defects for scalar fields with polynomial interactions
• Acoustic Black Holes from Abelian Higgs Model with Lorentz Symmetry Breaking
• Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
• BPS Solutions to a Generalized Maxwell-Higgs Model
• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• Superresonance effect from a rotating acoustic black hole and Lorentz symmetry breaking
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• A monopole solution in a Lorentz-violating field theory
• Analogue Aharonov-Bohm effect in a Lorentz-violating background
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Traveling solitons in Lorentz-violating systems
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
• Classical solutions for the Lorentz-violating and CPT-even term of the Standard Model Extension
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• Information-Entropic Measure of Energy-Degenerate Kinks in Two-Field Models
• Aspects of a planar nonbirefringent and CPT-even electrodynamics stemming from the Standard Model Extension
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Noncommutative analogue Aharonov-Bohm effect and superresonance
• Analogue Aharonov-Bohm effect in neo-Newtonian theory
• Dimensional reduction of the CPT-even electromagnetic sector of the Standard Model Extension
• Two field BPS solutions for generalized Lorentz breaking models
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
• On the Aharonov-Casher scattering in a CPT-odd Lorentz-violating background
• 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
• Mirrors and field sources in a Lorentz-violating scalar field theory
• D-Oscillons in the Standard Model-Extension
• On the dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking
• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Two-dimensional Lorentz-violating Chern-Simons-like action
• The 4D-2D projection of Lorentz-violating Myers-Pospelov QED
• 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"
• Ultrarelativistic Bose-Einstein Gas on Lorentz Symmetry Violation
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Kondo effect from a Lorentz-violating domain wall description of superconductivity
• Influence of Lorentz-violating terms on a two-level system
• Two-field models in the presence of impurities
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
• Lorentz Violation and Topologically Trapped Charge Carriers in 2D Materials
• Vector-Field Domain Walls
• Localized structures in three-field models: geometrically constrained configurations and the first-order framework
• Kink scattering in a Lorentz-violating ${\varphi }^6$ model
• LIV effects on the quantum stochastic motion in an acoustic FRW-geometry
• Kink properties in Lorentz-violating scalar field theory
• Exact Lorentz-violating $q$-deformed O($N$) universality class
• Spontaneous Lorentz symmetry violation and topological defects for the Chern-Simons matter vector field
• Modeling Dark Matter Halos with Nonlinear Field Theories
• Localized structures in two-field systems: exact solutions in the presence of Lorentz symmetry breaking and explicit connection with geometric constraints