The microlocal spectrum condition, initial value formulations, and background independence

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Stottmeister A, Thiemann T
Zeitschrift: Journal of Mathematical Physics
Verlag: AMER INST PHYSICS
Jahr der Veröffentlichung: 2016
Band: 57
Heftnummer: 2
ISSN: 0022-2488


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.



FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Stottmeister, Alexander
Lehrstuhl für Theoretische Physik
Thiemann, Thomas Prof. Dr.
Lehrstuhl für Theoretische Physik


Zitierweisen

APA:
Stottmeister, A., & Thiemann, T. (2016). The microlocal spectrum condition, initial value formulations, and background independence. Journal of Mathematical Physics, 57(2). https://dx.doi.org/10.1063/1.4940052

MLA:
Stottmeister, Alexander, and Thomas Thiemann. "The microlocal spectrum condition, initial value formulations, and background independence." Journal of Mathematical Physics 57.2 (2016).

BibTeX: 

Zuletzt aktualisiert 2018-10-08 um 19:54