A. Zee, Quantum Field Theory in a Nutshell · Problem IV.3.4

Field Theory Redux

Physics — QFT

Problem

Understand (14) using Feynman diagrams. Show that

V_{\text{eff}}

is generated by an infinite number of diagrams. [Hint: Expand the logarithm in (14) as a series in

V''(\phi)/k^2

and try to associate a Feynman diagram with each term in the series.]