Abstract
A new method of solving quantum field theory in the Heisenberg picture, proposed previously, is applied to a unitary theory of a generally covariant Liouville-like field, which is constructed in the context of the two-dimensional quantum gravity. The exact results of the covariant operator solution and the Wightman functions obtained previously in the R = 0 case are generalized to those in the R = Λ one.
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