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