A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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Supplies domination properties of self-adjoint kernels to select Feynman propagators that yield Hadamard states for bosonic, hermitian, Dirac, and Majorana theories.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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On the construction of Hadamard states from Feynman propagators
Supplies domination properties of self-adjoint kernels to select Feynman propagators that yield Hadamard states for bosonic, hermitian, Dirac, and Majorana theories.