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Field Theoretic Renormalization Group and the Scaling Behaviour in Polymer Solutions
Authors:S Stepanow
Abstract:Quantum field theoretic regularization methods are used to regularize the set of end-to-end chain correlation functions. The renormalization group invariance of the polymer theory allows to calculate the parameters g and S which in the regularized theory take on the role of z and Nl2 of the two parameter theory accordingly. The second virial coefficient A2 and the mean-square end-to-end polymer distance R2 of a polymer solution are represented in powers of g. g and S are evaluated up to order ?2 (? = 4 - d, where d is the space dimension). A2 and R2 are calculated up to order g2 and g, respectively, and compared with results obtained by ELDERFIELD and des CLOIZEAUX .
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