VECTOR INDUCED LATTICE GAUGE-THEORIES

We consider vector induced lattice gauge theories, in particular we co nsider the QED induced and we show that at negative temperature corres ponds to the dimer problem while at positive temperature it describes a gas of branched polymers with loops. We show that the fermionic mode ls have D(c) = 6 as upper critical dimension for N not-equal infinity while the N = infinity model has no upper critical dimension. We also show that the bosonic models without potential are not critical in the range of stability of the integral definition of the partition functi on but they behave as the fermionic models when we analytically contin ue the free energy.