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Wheeler-Feynman dynamics of spin-1/2 particles
Phys. Rev. D 33, 1037 – Published 15 February, 1986
DOI: https://doi.org/10.1103/PhysRevD.33.1037
Abstract
By combining a supersymmetric description of a spinning particle in an external field with an appropriate modification of the ‘‘adjunct field’’ of Wheeler and Feynman, we construct a many-time relativistic dynamics for arbitrary numbers of spin-(1/2) and spinless particles in mutual scalar or vector interaction. Quantization of the slow-motion approximation to the dynamics of two spinning particles reproduces the corresponding field-theoretic (Bethe-Salpeter) dynamics through order .
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- The canonical quantization of the spin-dependent versions of Wheeler-Feynman dynamics embodied in our approach [see (20a) and (20b), or (21) and (22)] and its relation to the Breit interaction produced by nonrelativistic quantization of the slow motion, weak potential limit awaits the quantization of the spinless version of Wheeler-Feynman dynamics. Elsewhere, the authors have demonstrated such a connection between a closely related quantum wave equation (two-body Dirac equation) and the Breit interaction [see Ref. 4; Phys. Rev. D 30, 2585 (1984) and unpublished work].