Title: INTERACTIONS BETWEEN STAR POLYMERS: HIGH-ORDER CALCULATIONS OF THE SCALING EXPONENTS
Author(s): V.Schulte-Frohlinde (Theoretische Polymerphysik, Universit{\"a}t Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany) , Yu.Holovatch (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii Str., 79011 Lviv, Ukraine; Ivan Franko National University, 12 Drahomanov Str., 79005 Lviv, Ukraine) , C. von Ferber, A.Blumen (Theoretische Polymerphysik, Universit{\"a}t Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany)

The scaling behavior of star polymers can be calculated in the $m\rightarrow 0$ limit of an $m$-component spin system with an additional composite operator. The resulting scaling exponents describe the effective interaction of such polymer stars, i.e. the objects whose behavior interpolates between that of polymer coils and that of hard sphere colloidal particles. We extend the existing renormalization group calculations from the third to the fourth order.

Key words: polymers, renormalization-group, fractals, critical exponents
PACS: 64.60.Ak, 61.41.+e, 64.60.Fr, 11.10.Gh