Regular Article - Theoretical Physics
Classical kinematics and Finsler structures for nonminimal Lorentz-violating fermions
Indiana University Center for Spacetime Symmetries, Indiana University, Bloomington, IN, 47405-7105, USA
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Accepted: 14 April 2015
Published online: 5 May 2015
In the current paper the Lagrangian of a classical, relativistic point particle is obtained whose conjugate momentum satisfies the dispersion relation of a quantum wave packet that is subject to Lorentz violation based on a particular coefficient of the nonminimal standard-model extension (SME). The properties of this Lagrangian are analyzed and two corresponding Finsler structures are obtained. One structure describes a scaled Euclidean geometry, whereas the other is neither a Riemann nor a Randers or Kropina structure. The results of the article provide some initial understanding of classical Lagrangians of the nonminimal SME fermion sector.
© SIF and Springer-Verlag Berlin Heidelberg, 2015