Apparently Weinberg's old idea of asymptotic safety is in vogue as a means to shackle the infinities of quantising gravity:
"Asymptotic safety generalizes asymptotic freedom: The latter posits that a model evolves along a Renormalization Group (RG) trajectory which emanates from the free fixed point in the deep UV, whereas the former is based on a fixed point at finite values of the couplings.
Both settings have in common that their free parameters are the relevant couplings which parameterize the devi- ation of the model from the fixed point. For instance, QCD with massless quarks only has one free parameter, namely the value of the gauge coupling at some energy scale.
"Asymptotic safety generalizes asymptotic freedom: The latter posits that a model evolves along a Renormalization Group (RG) trajectory which emanates from the free fixed point in the deep UV, whereas the former is based on a fixed point at finite values of the couplings.
Both settings have in common that their free parameters are the relevant couplings which parameterize the devi- ation of the model from the fixed point. For instance, QCD with massless quarks only has one free parameter, namely the value of the gauge coupling at some energy scale.
