Abstract
In the framework of off-shell quantum electrodynamics—the quantum field theory of a covariant symplectic mechanics, in which events evolve according to a Poincaré-invariant parameter τ—we study the low-energy scattering of identical scalar particles. It is shown that exchange of mass is permitted in the formalism, and we calculate scattering cross-sections for this case. In these cross-sections, the usual forward pole of the standard scalar QED splits into two poles and a zero, slightly offset from the forward direction. As mass exchange vanishes, a pole-zero pair cancel, the remaining pole moves to θ = 0, and the standard cross-section is recovered.
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Land, M.C. Pre-Maxwell Quantum Electrodynamics. Foundations of Physics 28, 1499–1506 (1998). https://doi.org/10.1023/A:1018817530337
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DOI: https://doi.org/10.1023/A:1018817530337