A new diagrammatic perturbative construction of Nicolai maps in Poincaré supergravity finds that the gravitino is required for consistency in the graviton sector at order κ², so Einstein gravity admits such a map only via its N=1 supersymmetric completion.
Feynman Diagrams for the Yang-Mills Field
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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.
Exact Airy-function evaluation of the Gauss-Bonnet mini-superspace path integral plus Picard-Lefschetz resolution of lapse degeneracies via complex (G ħ) deformation that alters the KSW condition.
Proposes strong and weak deformation cutoff regularizations for Yang-Mills theory using quasi-local probabilistic averaging and analyzes singular contributions to the first two quantum corrections plus new counter-vertices for consistency after renormalization.
One-loop metric fluctuations produce secularly growing IR divergences in the Hartle-Hawking wavefunction for complex saddles on R x S3, identical in leading order to the Lorentzian de Sitter case after UV renormalization.
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.
citing papers explorer
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Perturbative Nicolai-Map Diagrammatics: Application to Poincar\'{e} Supergravity
A new diagrammatic perturbative construction of Nicolai maps in Poincaré supergravity finds that the gravitino is required for consistency in the graviton sector at order κ², so Einstein gravity admits such a map only via its N=1 supersymmetric completion.
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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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Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW
Exact Airy-function evaluation of the Gauss-Bonnet mini-superspace path integral plus Picard-Lefschetz resolution of lapse degeneracies via complex (G ħ) deformation that alters the KSW condition.
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Renormalization aspects of the Yang-Mills theory with a cutoff
Proposes strong and weak deformation cutoff regularizations for Yang-Mills theory using quasi-local probabilistic averaging and analyzes singular contributions to the first two quantum corrections plus new counter-vertices for consistency after renormalization.
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IR behaviour of one-loop complex $\mathbb{R}\times S^3$ saddles
One-loop metric fluctuations produce secularly growing IR divergences in the Hartle-Hawking wavefunction for complex saddles on R x S3, identical in leading order to the Lorentzian de Sitter case after UV renormalization.
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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.
- A Lorentzian Gribov no-pole condition for Yang-Mills theory