Электронный каталог

Статья

Bandeira, G.H.
Localized Structures in Two-Field System: Exact Solutions in the Presence of Lorentz Symmetry Breaking and Explicit Connection with Geometric Constraints / G.H.Bandeira, Ya.Shnir, [a.o.]. – Text : electronic // Physica Scripta. – 2026. – Vol. 101, No. 11. – P. 115301. – URL: https://doi.org/10.1088/1402-4896/ae4f34.

We investigate a class of models described by two real scalar fields in two-dimensional spacetime. The study focuses mainly on the presence of exact static solutions which satisfy the first-order formalism, in models constructed to engender Lorentz symmetry violation. We start by exploring a direct connection between Lorentz breaking and geometric constraint, as experimentally examined in the case of domain walls in geometrically constrained magnetic materials. By means of a specific choice of functions, we show that imposing geometric constraint within the Lorentz-violating framework recovers the exact solutions of the corresponding Lorentz-invariant theory. Furthermore, we extend the investigation to new models that go beyond reproducing the Lorentz invariant geometrically constrained solutions, revealing that it remains possible to parametrize the first-order equation of one of the fields through a suitably redefined coordinate.



ОИЯИ = ОИЯИ (JINR)2026