Polymers inO(N) symmetric quantum field theory in the double-scaling limit

Abstract

Filamentary-surfaces randomly branched polymers can be represented byO(N) symmetric quantum field theories in the limit whereN→∞ and the coupling constantg→g c in a correlated manner. The statistical systems of randomly branched polymers are realized as dual diagrams of the Feynman graphs of the underlyingO(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.