Spin, Statistics, and Reflections, I. Rotation Invariance
Abstract
The universal covering of SO(3) is modelled as a reflection group GR 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 (Bisognano, Wichmann, 1975, 1976, and Guido, Longo, [funct-an/9406005]). This symmetry is used to construct a representation of GR by pairs of modular P1CT-operators. The representation thus obtained satisfies Pauli's spin-statistics relation.
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