Dynamical scaling exponent z for polymer chains in a good solvent

The dynamical exponent z for a single polymer chain in a good solvent is obtained to order ε (= 4 - d) for the bead and spring (Rouse-Zimm) model. In the free-draining limit z = 4 - ε/4 + ..., a result in agreement with a phenomenological prediction that z = 2 + 1/ν due to de Gennes. In the non-free draining limit, z = 4 - 5 ε/4 + ..., which disagrees with de Gennes' prediction that z = d for this limit, but which is consistent with recent experimental work which finds departures from the phenomenological predictions.