Spin-Statistics, Spin-Locality, and TCP: Three Distinct Theorems

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, Latex, no figures. References added. To appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(97)01301-4

I show that the spin-statistics theorem has been confused with another theorem that I call the spin-locality theorem. I also argue that the spin-statistics theorem properly depends on the properties of asymptotic fields which are free fields. In addition, I discuss how ghosts evade both theorems, give the basis of the spin-statistics theorem for fields without asymptotic limits such as quark and gluon fields, and emphasise the weakness of the requirements for the $TCP$ theorem.

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