Hadamard States and Two-dimensional Gravity

Abstract

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.

7 pages, no figure

References in corpus (1)

• Scalar Tensor Theories and Hadamard State Condition

Cited by in corpus (2)

• Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
• Black Holes: Information Loss But No Paradox