BEYOND THE N=0 LIMIT RESTRICTION FOR RANDOM-SURFACE THEORIES AS DERIVED FROM HAMILTONIAN GAUGE-MODELS

Studies of the universality hypothesis for the classification of the c ritical behavior of statistical systems, based on the construction of gauge models as equivalent to random-surface theories, have been until now strongly restricted to the n = 0 (zero-spin components) limit. Th is difficulty is overcome here, thus rendering possible a precise desc ription of the correspondence between the generating functions of ense mbles of random surfaces and the (more simple) partition functions of the related Hamiltonian gauge models, for a wide spectrum of physicall y relevant processes.