Uniqueness and the global Markov property for Euclidean fields: The case of general exponential interaction

The uniqueness and the global Markov property for the regular Gibbs measure corresponding to the interaction $$U_Lambda (varphi ): = lambda intlimits_Lambda {d_2 xint {dvarrho (alpha ):e^{alpha varphi } :_0 (x)} } $$ [forλ>0,d?(α) a probability measure with support in (( - 2sqrt {pi ,} 2sqrt pi )) ] is proved.