# A Renormalization Group for Dynamical Triangulations in Arbitrary   Dimensions

**Authors:** Ray L. Renken

arXiv: hep-lat/9607074 · 2009-10-28

## TL;DR

This paper introduces a block spin renormalization group method for quantum gravity using dynamical triangulations across various dimensions, analyzing flow diagrams near critical points in 3D and 4D.

## Contribution

It develops a novel renormalization group approach tailored for dynamical triangulations in arbitrary dimensions, providing insights into phase transitions.

## Key findings

- Flow diagrams for 3D and 4D theories near transitions
- Identification of critical points in quantum gravity models
- New methodological framework for analyzing quantum gravity

## Abstract

A block spin renormalization group approach is proposed for the dynamical triangulation formulation of quantum gravity in arbitrary dimensions. Renormalization group flow diagrams are presented for the three-dimensional and four-dimensional theories near their respective transitions.

## Full text

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## Figures

6 figures with captions in the complete paper: https://tomesphere.com/paper/hep-lat/9607074/full.md

## References

21 references — full list in the complete paper: https://tomesphere.com/paper/hep-lat/9607074/full.md

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Source: https://tomesphere.com/paper/hep-lat/9607074