Theory of semi-dilute polymer solutions. I. Static property in a good solvent

The authors study the static property of semi-dilute polymer solutions in a good solvent. Edwards' transformation is employed to develop the conformation space renormalisation group theory in semi-dilute solutions. They are primarily concerned with the crossover behaviour from a dilute to semi-dilute regime. The first-order calculation on epsilon =(4-d) with d the dimensionality of space is performed for the asymptotic scaling functions of the radius of gyration, osmotic compressibility and the correlation length of the monomer density fluctuations.