J. Phys. I France 3 (1993) 1663-1670
Flory exponents from a self-consistent renormalization groupRandall D. Kamien
School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, U.S.A.
(Received 7 April 1993, accepted 3 June 1993)
The wandering exponent for an isotropic polymer is predicted remarkably well by a simple argument due to Flory. By considering oriented polymers living in a one-parameter family of background tangent fields, we are able to relate the wandering exponent to the exponent in the background field through an -expansion. We then choose the background field to have the same correlations as the individual polymer, thus self-consistently solving for . We find for d < 4 and for , which is exactly the Flory result.
© Les Editions de Physique 1993