Two-loop beta-function from the exact renormalization group

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..

iwin club org  Renormalization Group Equations (RGEs) are indispensable tool to know the behavior of physical parameters at different energy scales. They are also extremely crucial if we want to extend our known Standard Model gauge group by some extra gauge groups and the $β$-functions are the soul of these RGEs. In literature although it is quite common to find long, final expressions of the RGEs ...

79king org com  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 = =