Abstract.
The universal covering of SO(3) is modelled as a reflection group G R in a representation independent fashion. For relativistic quantum fields, the Unruh effect of vacuum states is known to imply an intrinsic form of reflection symmetry, which is referred to as modular P1CT-symmetry [1, 2, 11]. This symmetry is used to construct a representation of G R by pairs of modular P1CT-operators. The representation thus obtained satisfies Pauli’s spin-statistics relation.
Communicated by Klaus Fredenhagen
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submitted 01/12/04, accepted 06/12/04
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Kuckert, B. Spin, Statistics, and Reflections I. Rotation Invariance. Ann. Henri Poincaré 6, 849–862 (2005). https://doi.org/10.1007/s00023-005-0226-8
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DOI: https://doi.org/10.1007/s00023-005-0226-8