POLYMERS IN O(N) SYMMETRICAL QUANTUM-FIELD THEORY IN THE DOUBLE-SCALING LIMIT

Filamentary-surfaces randomly branched polymers can be represented by O(N) symmetric quantum field theories in the limit where N --> infinity and the coupling constant g --> g(c) in a correlated manner. The statistical systems of randomly branched polymers are realized as dual diagrams of the Feynman graphs of the underlying O(N) symmetric quantum field theory. The purpose of these studies is to gain intuition for the long-lasting search for a possible description of quantum field theory in terms of extended objects.