Face amplitude of spinfoam quantum gravity
Eugenio Bianchi, Daniele Regoli, Carlo Rovelli
TL;DR
This paper investigates the face amplitude in spinfoam quantum gravity, showing it is simpler than previously believed, based on boundary Hilbert-space structure and composition conditions.
Contribution
It derives a simplified form of the face amplitude in spinfoam quantum gravity using boundary Hilbert-space and composition principles.
Findings
Face amplitude is simpler than initially thought.
Boundary Hilbert-space structure constrains amplitude form.
Amplitudes behave consistently under composition.
Abstract
The structure of the boundary Hilbert-space and the condition that amplitudes behave appropriately under compositions determine the face amplitude of a spinfoam theory. In quantum gravity the face amplitude turns out to be simpler than originally thought.
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