Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes
Claudio Dappiaggi, Daniel Siemssen
June 28, 2011
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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