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Spin, Statistics, and Reflections, I. Rotation Invariance

Bernd Kuckert
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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 P_1CT-symmetry (Bisognano, Wichmann, 1975, 1976, and Guido, Longo, [funct-an/9406005]). This symmetry is used to construct a representation of G_R by pairs of modular P_1CT-operators. The representation thus obtained satisfies Pauli's spin-statistics relation.

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Bernd Kuckert. 2005-09-14. Spin, Statistics, and Reflections, I. Rotation Invariance. https://doi.org/10.1007/s00023-005-0226-8

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