Srednicki — Quantum Field Theory · Problem 36.1

Canonical Quantization of Scalar Fields — Mark Srednicki

Physics — QFT · lagrangians-spinor-fields

Problem

Using the results of problem 2.9, show that, for a rotation by an angle

\theta

about the

z

axis, we have

D(\Lambda) = \exp(-i\theta S^{12}) , \tag{36.56}

and that, for a boost by rapidity

\eta

in the

z

direction, we have

D(\Lambda) = \exp(+i\eta S^{30}) . \tag{36.57}