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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FeynGrav 4.0 adds a finite BRST ghost-graviton interaction set for GR and quadratic gravity plus Cheung-Remmen polynomial variables that also yield finite rules.
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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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FeynGrav 4.0
FeynGrav 4.0 adds a finite BRST ghost-graviton interaction set for GR and quadratic gravity plus Cheung-Remmen polynomial variables that also yield finite rules.