Direct or dimensional renormalizations of the tricritical polymer theory

2014 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 03B5 = 3 d, where d is the space dimension (d ~ 3). We give, as examples, new tricritical results of the 03B5-expansion for polymer chains at the theta-point. J. Physique 47 (1986) 745-756 m 1986, Classification Physics Abstracts 05.20 05.40 11.10 61.40K 64.70