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• W2021195846 startingPage "2210" @default.
• W2021195846 abstract "In any Hamiltonian relativistic theory there are ten generators of the Poincar'e group which are realized canonically. The dynamical evolution is described by a Hamiltonian which is one of the ten generators in Dirac's generator formalism. The requirement that the canonical transformations reproduce the geometrical transformation of world points generates the world-line conditions. The Dirac identification of the Hamiltonian and the world-line conditions together lead to the no-interaction theorem. Interacting relativistic theories with world-line conditions should go beyond the Dirac theory and have eleven generators. In this paper we present a constraint dynamics formalism which describes an eleven-generator theory of $N$ interacting particles using $8(N+1)$ variables with suitable constraints. The $(N+1)mathrm{th}$ pair of four-vectors is associated with the uniform motion of a center which coincides with the center of energy for free particles. In such theories dynamics and kinematics cannot be separated out in a simple fashion." @default.
• W2021195846 created "2016-06-24" @default.
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• W2021195846 date "1981-05-15" @default.
• W2021195846 modified "2023-10-14" @default.
• W2021195846 title "Form of relativistic dynamics with world lines" @default.
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• W2021195846 doi "https://doi.org/10.1103/physrevd.23.2210" @default.
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