A. Zee, Quantum Field Theory in a Nutshell · Problem II.1.5

Field Theory Redux

Physics — QFT

Problem

For a relativistic electron moving along the z-axis, perform a rotation around the z-axis. In other words, study the effect of

e^{-(i/4)\omega\sigma^{12}}

\psi(p)

and verify the assertion in the text regarding

\psi_L

and

\psi_R