Does the existence of anti-particles forbid violations of statistics?

1992
6 pages
Published in:
  • Mod.Phys.Lett.A 7 (1992) 2383-2388

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Abstract: (WSP)
We consider a field theory based on the bilinear q-mutator relations and continuously transforming into the usual theory. For the free fields we show that the violations of usual (Fermi- or Bose-) statistics even within this "slightly" nonlocal theory are incompatible with the existence of antiparticles and the positive definiteness of norms of the state vectors in the Fock representation.
  • antiparticle
  • statistics: violation
  • field theory: scalar
  • commutation relations: deformation
  • invariance: CPT
  • linear space: Fock space
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