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- W1768224457 abstract "The four (electro-magnetic, weak, strong and gravitational) interactions are described by singular Lagrangians and by Dirac-Bergmann theory of Hamiltonian constraints. As a consequence a subset of the original configuration variables are {it gauge variables}, not determined by the equations of motion. Only at the Hamiltonian level it is possible to separate the gauge variables from the deterministic physical degrees of freedom, the {it Dirac observables}, and to formulate a well posed Cauchy problem for them both in special and general relativity. Then the requirement of {it causality} dictates the choice of {it retarded} solutions at the classical level. However both the problems of the classical theory of the electron, leading to the choice of ${1over 2} (retarded + advanced)$ solutions, and the regularization of quantum field teory, leading to the Feynman propagator, introduce {it anticipatory} aspects. The determination of the relativistic Darwin potential as a semi-classical approximation to the Lienard-Wiechert solution for particles with Grassmann-valued electric charges, regularizing the Coulomb self-energies, shows that these anticipatory effects live beyond the semi-classical approximation (tree level) under the form of radiative corrections, at least for the electro-magnetic interaction." @default.
- W1768224457 created "2016-06-24" @default.
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- W1768224457 date "2004-01-01" @default.
- W1768224457 modified "2023-10-16" @default.
- W1768224457 title "On the Anticipatory Aspects of the Four Interactions: what the Known Classical and Semi-Classical Solutions Teach us" @default.
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- W1768224457 doi "https://doi.org/10.1063/1.1787316" @default.
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