rg beta function We calculate the two-loop renormalization group (RG) beta-function of a massless scalar field theory from the irreducible version of Polchinski's exact RG flow equation..ae888 land org uk
Thus, the answer to my first question is: The right way to get a beta function in the context of momentum-shell renormalization is to determine the flow of the couplings with rescaling Λ and to add that dependence to the flow induced by the engineering scaling dimensions of the couplings.typhu88 org
The RG flow of the coupling constant hα is given by the beta-function in this context is defined as which ≡ α − ln b (15.19) which measures the rate of change (heff (b) of the coupling hα for a logarithmic change in the UV scale, ln b = ln(a′/a). For b → 1, the beta-function reduces to ∂hα = =