Direct or dimensional renormalizations of the tricritical polymer theory

Publisher Website
Google Scholar
Abstract
We study a direct renormalization method for polymer chains near the theta-tricritical point, which we have introduced previously for explicit tricritical calculations. With the help of the dimensional renormalization of field theory in the limit n = 0, we prove that this latter dimensional renormalization as well as the direct one yield a finite renormalized polymer theory to all orders in the first two virial coefficients and to all orders in the parameter ε = 3 - d, where d is the space dimension (d ≤ 3). We give, as examples, new tricritical results of the ε-expansion for polymer chains at the theta-point