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Constantness of the field renormalisation constant (according to Sidney Coleman)
I encountered the following passage in Quantum Field Theory: Lectures of Sidney Coleman, page 280:Since Lorentz transformations don't change $\phi'(0)$, or change any one-meson state to any other...
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I got this. Since $\phi'$ is a scalar field we have\begin{equation}U(\Lambda)\phi'(x)U(\Lambda)^{-1}=\phi'(\Lambda^{-1}x),\end{equation}for any element $\Lambda$ of the Lorentz group,...
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