Connecting the vulcanization transition to percolation - art. no. 031105

The vulcanization transition is addressed via a minimal replica-field-theor etic model. The appropriate long-wavelength behavior of the two- and three- point vertex functions is considered diagrammatically, to all orders in per turbation theory, and identified with the corresponding quantities in the H oughton-Reeve-Wallace field-theoretic approach to the percolation critical phenomenon. Hence. it is shown that percolation theory correctly captures t he critical phenomenology of the vulcanization transition associated with t he liquid and critical states.