QFT — Michael Luke Lectures · Problem V.2

Interacting Fields — Michael Luke

Physics — QFT · nucleon-field-matrix-elements

Problem

From the explicit expansion of ψ\psi in terms of b†(k)b^\dagger(k) and c(k)c(k) and Eq. (V.75), show that ⟨0∣ψ(x1)ψ(x2)∣p1;p2⟩=e−ip1⋅x1−ip2⋅x2+e−ip1⋅x2−ip2⋅x1.(V.79)\langle 0 | \psi(x_1)\psi(x_2) | p_1; p_2 \rangle = e^{-ip_1 \cdot x_1 - ip_2 \cdot x_2} + e^{-ip_1 \cdot x_2 - ip_2 \cdot x_1}. \tag{V.79}

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