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The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States

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arxiv 2401.08403 v2 pith:QCH72YXZ submitted 2024-01-16 math.AP math-phmath.DGmath.FAmath.MP

Simone Murro , Gabriel Schmid This is my paper
classification math.APmath-phmath.DGmath.FAmath.MP
keywords gaugecauchydecompositionhadamardhodgemaxwellradiationstates
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The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new Hodge decomposition for differential k-forms in Sobolev spaces on complete (possibly non-compact) Riemannian manifolds.

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  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.

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