Conformal invariance and gravitational coupling in quantum field theory.

Physics

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Universe: Large-Scale Structure

Scientific paper

The author studies the quantum constraints of a conformal invariant action for a scalar field. For this purpose he briefly presents a reformulation of the duality principle advanced earlier in the context of generally covariant quantum field theory, and applies 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. In this configuration a close relationship between the quantum constraints and the Einstein equations is established.

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