Scalar Tensor Theories and Hadamard State Condition

Details Scalar Tensor Theories and Hadamard State Condition Scalar Tensor Theories and Hadamard State Condition

2000-01-17

arxiv.org/abs/hep-th/0001096v1

J.Math.Phys. 41 (2000) 4582-4589

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, no figures

Scientific paper

10.1063/1.533364

The Hadamard state condition is used to analyze the local constraints on the two-point function of a quantum field conformally coupled to a background geometry. Using these constraints we develop a scalar tensor theory which controls the coupling of the stress-tensor induced by the two-point function of the quantum field to the conformal class of the background metric. It is then argued that the determination of the state-dependent part of the two-point function is connected with the determination of a conformal frame. We comment on a particular way to relate the theory to a specific conformal frame (different from the background frame) in which the large scale properties are brought into focus.

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