2021/02/21 by Reza Moazzemi, Mohammad Mehdi Ettefaghi, Amirhosein Mojavezi · 1 citation
Mathematics · Medicine · Physics and Astronomy · #Black Holes and Theoretical Physics #CPT symmetry #Classical mechanics #Geometry #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Neuroblastoma Research and Treatments #Noncommutative and Quantum Gravity Theories #Physics #Quantization (signal processing) #Quantum #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar field theory #Term (time) #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2021.115343
published in Nuclear Physics B 965, 115343 (Elsevier BV) · 18 pages, 2 figures, elsarticle format, to appear in NPB
arxiv created 2021/02/21 · openalex publication_date 2021/02/21 · arxiv updated 2021/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider topological defects for the λϕ4 theory in (1+1) dimensions with a Lorentz-violating background. It has been shown, by M. Barreto et al. (2006) [34], 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.