Conformation-space renormalization of randomly branched polymers

We present a renormalization group theory in polymer conformation space to describe randomly branched polymers in which monomers interact with each other through the excluded volume interaction. We make a perturbation expansion for the mean square radius of gyration of randomly branched polymers with annealed structures and identify the appropriate scaling variable. We further perform a renormalization group analysis that results in the {ε} expansion for the critical exponents of the radius of gyration {ν}=1/4+{ε}/36 and of the number of configurations {θ}=5/2-{ε}/12, which are consistent with the results of an earlier theory.