11,187 research outputs found
Two-dimensional Lorentz-violating Chern-Simons-like action
We demonstrate generation of the two-dimensional Chern-Simons-like
Lorentz-breaking action via an appropriate Lorentz-breaking coupling of scalar
and spinor fields at zero as well as at the finite temperature and via the
noncommutative fields method and study the dispersion relations corresponding
to this action.Comment: 10 pages, references added, version accepted to Physics Letters
Lorentz violation in the linearized gravity
We study some consequences of the introduction of a Lorentz-violating
modification term in the linearized gravity, which leads to modified dispersion
relations for gravitational waves in the vacuum. We also discuss possible
mechanisms for the induction of such a term in the Lagrangian.Comment: Presented at the Fifth Meeting on CPT and Lorentz Symmetry,
Bloomington, Indiana, June 28-July 2, 201
Multidimensional transversality
In 1994, Sakai introduced the property of transversality for two smooth
curves in a two-dimensional manifold. This property was related to various
shadowing properties of dynamical systems. In this short note, we generalize
this property to arbitrary continuous mappings of topological spaces into
topological manifolds. We prove a sufficient condition for the
transversality of two submanifolds of a topological manifold and a necessary
condition of transversality for mappings of metric spaces into
.Comment: 9 page
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