Duality Induced Reflections and CPT

Details Duality Induced Reflections and CPT Duality Induced Reflections and CPT

1999-10-28

arxiv.org/abs/hep-th/9910223v1

Int.J.Theor.Phys. 39 (2000) 321-340

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, latex, macros included

Scientific paper

The linear particle-antiparticle conjugation $\ty C$ and position space reflection $\ty P$ as well as the antilinear time reflection $\ty T$ are shown to be inducable by the selfduality of representations for the operation groups $\SU(2)$, $\SL(\C^2)$ and $\R$ for spin, Lorentz transformations and time translations resp. The definition of a colour compatible linear $\ty{CP}$-reflection for quarks as selfduality induced is impossible since triplet and antitriplet $\SU(3)$-representations are not linearly equivalent.

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