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Massless Particles with Infinite Spin
Phys. Rev. D 2, 1049 – Published 15 September, 1970
DOI: https://doi.org/10.1103/PhysRevD.2.1049
Abstract
Reducible free fields of massless particles with infinite spin, transforming covariantly under the Poincaré group, are constructed. The fields are linear combinations of annihilation and creation operators for massless particles summed over all possible spin values. We give some sufficient conditions for satisfying the causality requirement, and find no necessary connection between spin and statistics. Fermi and Bose fields can be quantized so as to satisfy causality with or without the usual spin-statistics relation. We exhibit covariant propagators for these fields and calculate the scattering amplitude in lowest order for two interaction Lagrangians.
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