2017
DOI: 10.1016/j.physletb.2017.07.027
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Extended hamiltonian formalism and Lorentz-violating lagrangians

Abstract: A new perspective on the classical mechanical formulation of particle trajectories in lorentz-violating theories is presented. Using the extended hamiltonian formalism, a Legendre Transformation between the associated covariant Lagrangian and Hamiltonian varieties is constructed. This approach enables calculation of trajectories using hamilton's equations in momentum space and the Euler-Lagrange equations in velocity space away from certain singular points that arise in the theory. Singular points are naturall… Show more

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Cited by 24 publications
(16 citation statements)
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“…Besides that, Finsler b space was discovered to have singularities that can be removed with a desingularization procedure [36] whose existence is based on the famous Hironaka theorem for algebraic varieties. An alternative to this procedure was presented in the recent work [37] related to the formalism of extended Hamiltonians introduced by Dirac. In principle, b space is a special case of a more general type of Finsler structures that are called bipartite and that are focused on in [38].…”
Section: Introductionmentioning
confidence: 99%
“…Besides that, Finsler b space was discovered to have singularities that can be removed with a desingularization procedure [36] whose existence is based on the famous Hironaka theorem for algebraic varieties. An alternative to this procedure was presented in the recent work [37] related to the formalism of extended Hamiltonians introduced by Dirac. In principle, b space is a special case of a more general type of Finsler structures that are called bipartite and that are focused on in [38].…”
Section: Introductionmentioning
confidence: 99%
“…Additionally, violations of microcausality may also arise as one particle dispersion relations can develop group velocities exceeding 1. For further discussion on non-concordant frames see [81,82]; to see how these issues may be overcome via an extended Hamiltonian formalism see [83,84].…”
Section: Discussionmentioning
confidence: 99%
“…An argument for positivity of the metric (19) can be made in terms of the positivity of its determinant det g (d) , so we first consider the latter. It is convenient to define κ ≡ max{|k (d)…”
Section: Finsler Geometrymentioning
confidence: 99%