# Hypercuboidal renormalization in spin foam quantum gravity

## TL;DR

This paper applies background-independent renormalization group techniques to spin foam quantum gravity, confirming the robustness of a fixed point and detailing the approximation methods used.

## Contribution

It extends previous analysis by testing the stability of the fixed point under various modifications and elaborates on the approximation schemes employed.

## Key findings

- Fixed point existence is robust across modifications.
- Qualitative and quantitative features of the fixed point remain stable.
- Detailed discussion of approximation schemes used in the analysis.

## Abstract

In this article we apply background-independent renormalization group methods to spin foam quantum gravity. It is aimed at extending and elucidating the analysis of a companion letter, in which the existence of a fixed point in the truncated RG flow for the model was reported. Here we repeat the analysis with various modifications, and find that both qualitative and quantitative features of the fixed point are robust in this setting. We also go into details about the various approximation schemes employed in the analysis.