The use of the word "statistics" in #quantum field theory is different from the usual. The "statistics" of a type of particle simply refers to the type of commutation relation its field satisfies: commutator [f,g] = fg-gf for bosons, anticommutator {f,g} = fg+gf for fermions.
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Replying to @SamuelGWalters
So the fun puzzle is: why did they call the different commutation relations "statistics"? There's a good reason.
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Replying to @johncarlosbaez @SamuelGWalters
I love Streater-Wightman, by the way. I have never been able to read the exposition there of the reconstruction theorem (essentially just Gelfand-Naimark-Segal) without giggling over that final line: "Yes, it really is that simple." Genius. Just pure genius.
1:02 AM - 26 Aug 2018
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