Abstract
This paper presents a field theory for the statistics of branched polymers and for the gelation transition. The gelation transition with , where and are the fugacities for polymer number and loop number, is shown to be in the same universality class as the -state Potts model. A new fixed point governing the statistics of branched polymers in the dilute limit () in dimensions with and is located. An old result of Zimm and Stockmayer for the radius of gyration of a Gaussion branched polymer is rederived.
- Received 11 July 1978
DOI:https://doi.org/10.1103/PhysRevLett.41.829
©1978 American Physical Society