We perturbatively calculate the partition function and the two-point squared distance for a self-avoiding tethered manifold. By directly summing the leading divergences of the perturbation series, we show that they can be organized to yield scaling forms. The manifolds are indeed one-loop renormalizable to all orders.

• Received 8 December 1989

DOI:https://doi.org/10.1103/PhysRevLett.64.2022