Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes

Details Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes

2011-06-28

arxiv.org/abs/1106.5575v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

26 pages, section 3 and 4 revised

Scientific paper

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.

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