Dimensional renormalizations of polymer theory

Publisher Website
Google Scholar
Abstract
We show how to perform systematically to all orders, two different dimensional renormalizations (or minimal subtractions) directly in polymer theory, in the critical case (for d = 4 - ε, ε ≽ 0). One of the dimensional renormalization schemes is that of field theory and has been justified recently by M. Benhamou and G. Mahoux. The other one, the z-dimensional renormalization scheme is new and renormalizes minimally the Yamakawa parameter z of polymer theory. We explicit the relation of these renormalizations to the « direct renormalization » of J. des Cloizeaux. We recalculate the critical indices to order ε2