A. Zee, Quantum Field Theory in a Nutshell · Problem I.8.1

Field Theory Redux

Physics — QFT

Problem

Derive (14). Then verify explicitly that

d^D k/(2\omega_k)

is indeed Lorentz invariant. Some authors prefer to replace

\sqrt{2\omega_k}

in (11) by

2\omega_k

when relating the scalar field to the creation and annihilation operators. Show that the operators defined by these authors are Lorentz covariant. Work out their commutation relation.

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