A finiteness proof for the Lorentzian state sum spinfoam model for quantum general relativity
Louis Crane, Alejandro Perez, Carlo Rovelli
TL;DR
This paper proves that the normalized Lorentzian state sum in a quantum gravity model is finite for any triangulation, supporting its viability as a perturbatively finite quantum theory of 4D general relativity.
Contribution
It provides a proof of finiteness for the Lorentzian state sum model, establishing it as a promising candidate for a finite quantum gravity theory.
Findings
Normalized Lorentzian state sum is finite on any triangulation
Supports the model as a perturbatively finite quantum gravity theory
Advances the understanding of quantum gravity in four dimensions
Abstract
We show that the normalized Lorentzian state sum is finite on any triangulation. It thus provides a candidate for a perturbatively finite quantum theory of general relativity in four dimensions with Lorentzian signature.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Algebraic structures and combinatorial models