Abstract
Abstract Renormalization methods used in phase transition theory1 allow Fixman's2 cluster expansion to treat the “excluded volume” limit of strong repulsion or long chains. (In this limit the size of a polymer varies as its length to the power 0.6.) The renormalization process consists in generalizing the expansion to treat d-dimensional chains and then removing divergences which appear as d → 4. The theory predicts values for well-studied dimensionless ratios like Yamakawa's3 interpenetration function ψ Experimental tests of these predictions can decide whether renormalization ideas are necessary in studying polymers.
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