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arXiv · 1208.2744

The Cornerstone Of Spin Statistics Connection: The SU(2)$\times$ C $\times$ T Symmetry

Biao Lian
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Abstract

We investigate the intrinsic reason for spin statistics connection. It is found that if a free field theory is rotationally (SU(2)) invariant, and has time reversal ($T$) and charge conjugation ($C$) symmetries, it obeys the spin statistics connection, except for a special case. Shr{\"o}dinger equation belongs to this special case, and does not obey spin statistics connection. Further we show that if the energy spectrum of a particle $E(p)$ takes the form of a square root, namely contains branch points in the complex $p$ plane, the particle cannot belong to this special case, and must obey the spin statistics connection. This conclusion includes the relativistic particles as a particular example.

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Biao Lian. 2012-08-14. The Cornerstone Of Spin Statistics Connection: The SU(2)$\times$ C $\times$ T Symmetry. https://arxiv.org/abs/1208.2744

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