= Minimal-subtraction two-point counterterms in cubic scalar theory
{title2=$\delta Z=-g^2/[6(4\pi)^3\epsilon],\quad\delta m^2=-g^2m^2/[(4\pi)^3\epsilon]$}
With additive <counterterms> $\tfrac12\delta Z(\partial\phi)^2+\tfrac12\delta m^2\phi^2$, their Euclidean propagator insertion is $-(\delta Zk^2+\delta m^2)$. These <minimal subtraction scheme> coefficients cancel the cubic bubble insertion. A bare mass shift also subtracts $m^2\delta Z$ after <wavefunction renormalization>; it is not the same coefficient as the additive mass counterterm.
Back to article page
