Kink properties in Lorentz-violating scalar field theory

We consider topological defects for the lambda phi(4) 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. (C) 2021 The Author(s). Published by Elsevier B.V.

Automated summary

This study examines topological defects in the lambda phi(4) theory in (1+1) dimensions with a Lorentz-violating background, introducing a new Lorentz-violating term at the next-to-leading order. The lowest order term affects the kink properties significantly, leading to corrections in kink shape and mass. The quantization of the kink reveals that bound and continuum states are influenced by this Lorentz symmetry violation.