ABSTRACT
As we saw in Chapter 11, renormalisation of QED consists essentially of carrying out, on the coupling constant of the theory, on the propagators, and on the vertices, the transformations e 2 → Z 3 Z 1 - 1 Z 2 e 2 = Z 3 e 2 , D μ ν → Z 3 - 1 D μ ν , S F → Z 2 - 1 S F , Λ μ → Z 1 Λ μ , $$ \begin{aligned} \nonumber e^2&\rightarrow Z_3 Z_1^{-1} Z_2 e^2 = Z_3 e^2 \ , \\ D_{\mu \nu }&\rightarrow Z_3^{-1} D_{\mu \nu } \ , \\ \nonumber S_F&\rightarrow Z_2^{-1} S_F \ , \\ \nonumber \Lambda _{\mu }&\rightarrow Z_1 \Lambda _{\mu } \ , \nonumber \end{aligned} $$ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315369723/48d43afe-85b0-4e2b-a932-df2bd1af07be/content/math13_609.tif"/>
