Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes
General Relativity and Quantum Cosmology
2013-02-19 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We develop a quantization scheme for the vector potential on globally hyperbolic spacetimes which realizes it as a locally covariant conformal quantum field theory. This result allows us to employ on a large class of backgrounds, which are asymptotically flat at null infinity, a bulk-to-boundary correspondence procedure in order to identify for the underlying field algebra a distinguished ground state which is of Hadamard form.
Cite
@article{arxiv.1106.5575,
title = {Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes},
author = {Claudio Dappiaggi and Daniel Siemssen},
journal= {arXiv preprint arXiv:1106.5575},
year = {2013}
}
Comments
25 pages, comments added, improved notation, minor typos corrected and updated bibliography