ABSTRACT
This chapter shows how to generate all necessary counter terms for the renormalisation from a bare Lagrangian which involves the same types of vertices as the renormalised Lagrangian. There could be rather a lot of counter terms because there are two different vertices involving only gauge fields, one involving gauge fields and ghost fields, and one involving fermion fields and a gauge field for each type of fermion field. The chapter assumes that the bare Lagrangian takes exactly the same form as the renormalised Lagrangian but with the bare quantities replacing the corresponding renormalised quantities. It evaluates the renormalisation constants at one-loop order by regularising the divergent loop integrations using dimensional regularisation. The chapter also discusses the case of Abelian gauge theory and derives the electron anomalous magnetic moment.
