New answers tagged fermions
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There's no related exception for tachyons. Tachyons' statistics must be determined a priori. Most typically, tachyons have to be bosons – and under certain additional assumptions, they have to be scalar (spin-zero) bosons. They differ from massive bosons just by the fact that the mass term $m^2\phi^2/2$ has the opposite sign – opposite sign of their $m^2$.
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Photons are modeled as bosons with an integer spin, have a symmetry and can occupy the same quantum state.
All this means, is that they use the Bose-Einsten distribution instead. Where the Bose Einstein distribution gives the average number of Bosons found in an energy state, $\epsilon$.
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Main point: You should allow the possibility of sign factors appearing into the definition of the Hilbert space representation of fermionic operators, cf. fermionic Fock space.
In more detail, consider the CAR algebra
$$\tag{1} \{c_{\sigma}, c_{\tau}\}~=~0,
\qquad \{c_{\sigma}, c^{\dagger}_{\tau}\}~=~\hbar {\bf 1},
\qquad\{c^{\dagger}_{\sigma}, ...
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