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.
Fourier integral operators. I
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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.
The measurement operator for thermoacoustic tomography with circular integrating detectors and variable smooth wave speed is a Fourier Integral Operator whose canonical relation determines visible singularities in initial data from a fixed open subset of measurements.
citing papers explorer
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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.
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Thermoacoustic Tomography with Circular Integrating Detectors and Variable Wave Speed
The measurement operator for thermoacoustic tomography with circular integrating detectors and variable smooth wave speed is a Fourier Integral Operator whose canonical relation determines visible singularities in initial data from a fixed open subset of measurements.