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Segment directions in a self-repelling polymer chain are expected to show nontrivial universal long-range correlations. We verify this hypothesis to two-loop order of renormalized perturbation theory and we calculate the scaling function using the -expansion to order 2. The result is well confirmed by simulations of the Domb-Joyce model on a simple cubic lattice. Furthermore, it explains previous simulation results. Our results have consequences for the interpretation of the persistence length in screened polyelectrolytes.
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Schäfer et al. (1999) studied this question.
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