FIXED-SCALE TRANSFORMATION APPROACH TO LINEAR AND BRANCHED POLYMERS

The radius exponent of two- and three-dimensional self-avoiding walks and branched polymers are computed in the fixed-scale transformation f ramework. The method requires the knowledge of the critical fugacity k (c), but from this non-universal parameter it is possible to compute t he universal critical exponent. The results obtained are within 1% of exact or numerical values. This confirms the versatility and quantitat ive power of this new theoretical approach and gives the opportunity t o provide a discussion of the analogies and differences between the re al space renormalization group and the fixed-scale transformation meth od.