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[QUE/QFT-06002]

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\(\newcommand{\ket}[1]{|#1\rangle}
\newcommand{\matrixelement}[3]{\langle#1|#2|#3\rangle}
\)
For a real free Dirac field, mass \(m\),  compute \[ \matrixelement{0}{\psi(x)\psi(y)}{\vec{p},r; \vec{q},s}\] and show that the result is  properly anti-symmetrized wave function for two identical fermions with momenta \(\vec{p},r;\vec{q},s\) and  spins \(r,s\). Here \(\ket{\vec{k}, \vec{q}}\) is the state with two fermions with momenta \(\vec{p}, \vec{q}\) and spins \(r,s\).

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4727:Diamond Point

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