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@article{faucris.120025884,
abstract = {We analyze implications of the microlocal spectrum/Hadamard condition for states in a (linear) quantum field theory on a globally hyperbolic spacetime M in the context of a (distributional) initial value formulation. More specifically, we work in 3+1-split M congruent to R x Sigma and give a bound, independent of the spacetime metric, on the wave front sets of the initial data for a quasi-free Hadamard state in a quantum field theory defined by a normally hyperbolic differential operator P acting in a vector bundle E ->(pi) M. This aims at a possible way to apply the concept of Hadamard states within approaches to quantum field theory/gravity relying on a Hamiltonian formulation, potentially without a (classical) background metric g. (C) 2016 AIP Publishing LLC.},
author = {Stottmeister, Alexander and Thiemann, Thomas},
doi = {10.1063/1.4940052},
faupublication = {yes},
journal = {Journal of Mathematical Physics},
peerreviewed = {Yes},
title = {{The} microlocal spectrum condition, initial value formulations, and background independence},
volume = {57},
year = {2016}
}