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|Paper IPM / Physic / 6578||
We study the quantum constraints of a conformal invariant action for a scalar
field. For this purpose we briefly present a reformulation of the duality
principle advanced in  in the context of generally covariant quantum field
theory, and apply it to examine the finite structure of the quantum
constraints. This structure is shown to admit a dimensional coupling (a
coupling mediated by a dimensional coupling-parameter) of states to gravity.
Invariance breaking is introduced by defining a preferred configuration
of dynamical variables in terms of the large scale characteristics of
the universe. It this configuration a close relationship between the quantum
constraints and the Einstein equations is established.
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