J. Phys. I France
Volume 3, Numéro 8, August 1993
Page(s) 1663 - 1670
DOI: 10.1051/jp1:1993208
J. Phys. I France 3 (1993) 1663-1670

Flory exponents from a self-consistent renormalization group

Randall 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 $\nu$ 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 $\epsilon$-expansion. We then choose the background field to have the same correlations as the individual polymer, thus self-consistently solving for $\nu$. We find $\nu = 3/(d + 2)$ for d < 4 and $\nu = 1/2$ for $d \ge 4$, which is exactly the Flory result.

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