Abstract
We show that, in a relativistic quantum theory in which the mass shell is not sharp, and positive and negative energy states are admissable, causal propagation is possible, and Hegerfeldt's theorem can be avoided. The conditions under which this is true have simple physical interpretation.
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1. On sabbatical leave from School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, Israel. This work was supported in part by a grant from the Ambrose Monell Foundation.
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Horwitz, L.P., Usher, M. Localizability and causal propagation in relativistic quantum mechanics. Found Phys Lett 4, 289–295 (1991). https://doi.org/10.1007/BF00665761
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DOI: https://doi.org/10.1007/BF00665761