Classical kinematics for Lorentz violation

Abstract

Classical point-particle relativistic lagrangians are constructed that generate the momentum-velocity and dispersion relations for quantum wave packets in Lorentz-violating effective field theory.Comment: 6 pages, accepted for publication in Physics Letters

Exploring special relative locality with de Sitter momentum-space

“…The possibility of having a departure from the identification between the β parameter and velocity v is usually not taken into account in Lorentz-invariance violation literature (see exempli gratia [22,23]), and maybe should be better deepened.…”

“…The only problem we should be careful about is the non trivial relation between lengths and time intervals. In fact, while according to (22) in χ α coordinates our photons have trivial wordlines…”

Classical Lagrangians for momentum dependent Lorentz violation

“…This framework, Finsler geometry, is a natural extension of Riemannian geometry (see section 2 for a brief introduction). Effectively employed by Randers [12] to study dynamics of charged particles coupled to a fixed background field, Finsler geometry has been used to study a number of special limits of the SME where certain background fields are allowed to couple to standard fields [13], [14]. The associated SME lagrangians lead to Finsler structures which do not, in general, define Randers-type geometries.…”

Free Particle in Very Special Relativity, Gauge Symmetry and Two-Time Physics

“…This line element also was found in [11]. Some works about Lorentz violation can be seen in [12,13,14,15,16,44,18,19,20,21,22,23,24,25,26,27,28] and works about VSR can be found in [29,30,31,32,33,34,35,36].…”