Srednicki — Quantum Field Theory · Problem 50.2

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · spinor-helicity-twistor-verification

Problem

a) Use eqs. (50.9) and (50.15) to verify eq. (50.12). b) Let the three-momentum p\mathbf{p} be in the +z^+\hat{z} direction. Use eq. (38.12) to compute u±(p)u_\pm(\mathbf{p}) explicitly in the massless limit (corresponding to the limit η→∞\eta \to \infty, where sinh⁡η=∣p∣/m\sinh\eta = |\mathbf{p}|/m). Verify that, when θ=0\theta = 0, your results agree with eqs. (50.8), (50.9), and (50.13).

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