Abstract
The percolation problem is normally described in field theory by the limit of the -component Potts model. This model has trilinear interactions which give rise to an expansion in dimensions. In contrast to positive values of , the case is shown to have oscillatory growth at high orders in which permits Padé-Borel resummation. A new formulation of the limit is required to obtain this result. An improved estimate is given for the critical exponent which describes corrections to scaling.
- Received 14 October 1977
DOI:https://doi.org/10.1103/PhysRevB.17.2956
©1978 American Physical Society