A. Zee, Quantum Field Theory in a Nutshell · Problem III.1.3

Field Theory Redux

Physics — QFT

Problem

Change

\Lambda

e^\epsilon \Lambda

. Show that for

M

not to change, to the order indicated

\lambda

must change by

\delta \lambda = 6\epsilon C\lambda^2 + O(\lambda^3)

, that is,

\Lambda \frac{d\lambda}{d\Lambda} = 6C\lambda^2 + O(\lambda^3)