A. Zee, Quantum Field Theory in a Nutshell · Problem V.7.3

Field Theory Redux

Physics — QFT

Problem

Consider the vortex configuration in which

\varphi \xrightarrow{r\to\infty} ve^{i\nu\theta}

, with

\nu

an integer. Calculate the magnetic flux. Show that the magnetic flux coming out of an antivortex (for which

\nu = -1

) is opposite to the magnetic flux coming out of a vortex.