Journal article


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


Publication Details
Author(s): Stottmeister A, Thiemann T
Publisher: AMER INST PHYSICS
Publication year: 2016
Volume: 57
Journal issue: 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.



How to cite
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).

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