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A construction of massive free fields with arbitrary spin and reversedspin-statistics relation is presented. The main idea of the construction is toconsider fields that transform according to representations of the Lorentzgroup that are doubled in comparison with the representations according towhich normal (physical) fields transform. This allows the definition ofopposite commutation properties for these fields, while the spin of theparticles they describe remains unchanged. The correspondence established bythe construction between fields obeying normal and reversed spin-statisticsrelation makes it possible to express e.g. the polarization states,(anti)commutators, or Feynman propagators of the latter fields in terms ofthose of the normal fields to which they correspond. The cases of the scalarand Dirac fields are discussed in additional detail.

Higher spin fields with reversed spin-statistics relation