One-loop beta function of a supersymmetric gauge theory (source code)

= One-loop beta function of a supersymmetric gauge theory
{title2=$b_0$}

With the index convention $I(\mathbf N)=1$ for an $SU(N)$ fundamental, an N=1 supersymmetric gauge theory has $b_0=\tfrac32I(\mathrm{adj})-\tfrac12\sum_i I(R_i)$. Positive $b_0$ gives asymptotic freedom, while negative $b_0$ makes the gauge interaction infrared free near the Gaussian fixed point.