Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 022303 |
| Fachzeitschrift | Journal of mathematical physics |
| Jahrgang | 57 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - 2016 |
| Extern publiziert | Ja |
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 ≅ ℝ × Σ 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 →π 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.
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in: Journal of mathematical physics, Jahrgang 57, Nr. 2, 022303, 2016.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - The microlocal spectrum condition, initial value formulations, and background independence
AU - Stottmeister, A.
AU - Thiemann, T.
N1 - Publisher Copyright: © 2016 AIP Publishing LLC.
PY - 2016
Y1 - 2016
N2 - 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 ≅ ℝ × Σ 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 →π 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.
AB - 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 ≅ ℝ × Σ 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 →π 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.
UR - http://www.scopus.com/inward/record.url?scp=84958019498&partnerID=8YFLogxK
U2 - 10.1063/1.4940052
DO - 10.1063/1.4940052
M3 - Article
VL - 57
JO - Journal of mathematical physics
JF - Journal of mathematical physics
SN - 0022-2488
IS - 2
M1 - 022303
ER -