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Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes

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arxiv 1106.5575 v4 pith:Z6XURTTW submitted 2011-06-28 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords asymptoticallyfieldflathadamardpotentialspacetimesvectoralgebra
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Measurements in stochastic gravity and thermal variance

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Thermal photon fluctuations in a curved spacetime generate metric variance that, in the Fewster-Verch measurement scheme, equals the stochastic gravity noise kernel exactly.

  2. The Fock Space Dynamics of Causal Fermion Systems: Non-Abelian Gauge Fields

    math-ph 2026-07 conditional novelty 5.0 of 10

    A limiting case of the causal action principle for causal fermion systems yields the Fock-space dynamics and Feynman diagrams of pQFT including non-abelian gauges and Dirac fields.

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