Two-point scaling at an ultraviolet fixed point (source code)

= Two-point scaling at an ultraviolet fixed point
{title2=$G(p)\propto(p^2)^{-1+\gamma_*}$}

If $g(t)\to g_*$, $\gamma(g(t))\to\gamma_*$ and the reference correlator has a finite nonzero fixed-point limit, the <characteristic solution of the multiplicative Callan-Symanzik equation> gives $\log f(t)=2\gamma_*t+o(t)$. A simple attractive fixed point and smooth <anomalous dimension> give a finite prefactor multiplying $e^{2\gamma_*t}$. A nonsimple fixed point can retain slower corrections.