Multiplicative renormalization of continuous polymer theories, in good and θ solvents, up to critical dimensions

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Abstract
It is shown that standard continuous theories of polymers, in good and in θ solvents, renormalize according to des Cloizeaux' scheme (multiplicative renormalization). Use is made of the equivalence of these theories, through Laplace-de Gennes transforms, with ϕ4 and ϕ 6 self-interacting n component scalar field theories, in the limit of zero components. It is argued that the minimal dimensional renormalization procedure of 't Hooft and Veltman is particularly well adapted to the problem, since it commutes with Laplace-de Gennes transforms