Abstract
The ratio of the radius of gyration to the mean square end to end distance of an isolated long chain is given to second order in ε = 4 — d, where d is the space dimension. Our method of calculation is based on the direct renormalization idea introduced by J. des Cloizeaux. In dimension three (ε = 1), our result can be compared with the result of computer experiments made by C. Domb and F. F. Hioe

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