Hadamard States and Two-dimensional Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, no figure

Scientific paper

10.1142/S0217751X01004992

We have used a two-dimensional analog of the Hadamard state-condition to study the local constraints on the two-point function of a linear quantum field conformally coupled to a two-dimensional gravitational background. We develop a dynamical model in which the determination of the state of the quantum field is essentially related to the determination of a conformal frame. A particular conformal frame is then introduced in which a two-dimensional gravitational equation is established.

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