1997/05/27 by Christian von Ferber, Yurij Holovatch
Physics and Astronomy · #cond-mat
published as Theor. Math. Phys. 109 (1996) 34-50, english ed: 1274-1286 · 17 pages, revtex, 5 latex pictures
arxiv created 1997/05/27 · arxiv updated 2009/11/30
We study scaling properties of self avoiding polymer stars and networks of arbitrary given but fixed topology. We use massive field theoretical renormalization group framework to calculate critical exponents governing their universal properties (star exponents). Calculations are performed directly in three dimensions, renormalization group functions are obtained in three loop approximation. Resulting asymptotic series for star exponents are resummed with the help of Pade-Borel and conformal mapping transformation.