Book section : Chapter

From trees to gravity

Abstract:: In this article, we study two related models of quantum geometry: generic random trees and two-dimensional causal triangulations. The Hausdorff and spectral dimensions that arise in these models are calculated, and their relationship with the structure of the underlying random geometry is explored. Modifications due to interactions with matter fields are also briefly discussed. The approach to the subject is that of classical statistical mechanics, and most of the tools come from probability and graph theory.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Durhuus, B., Jonsson, T., & Wheater, J. (2023). From trees to gravity. In C. Bambi, L. Modesto, & L. Shapiro (Eds.), Handbook of Quantum Gravity (1st ed.). Spinger.

MLA Style

Durhuus, B., et al. “From Trees to Gravity.” Handbook of Quantum Gravity, edited by C Bambi et al., 1st ed., Spinger, 2023.

Chicago Style

Durhuus, B, T Jonsson, and J Wheater. 2023. “From Trees to Gravity.” In Handbook of Quantum Gravity, edited by C Bambi, L Modesto, and L Shapiro, 1st ed. Spinger.
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Publisher copy:: 10.1007/978-981-19-3079-9_86-1

Authors

+ Durhuus, B More by this author

Role:: Author

+ Jonsson, T More by this author

Role:: Author

+ Wheater, J More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Physics
Sub department:: Theoretical Physics
Oxford college:: Wolfson College
Role:: Author

Contributors

Role:: Editor

Role:: Editor

Role:: Editor

Publisher:: Spinger
Host title:: Handbook of Quantum Gravity
Place of publication:: Singapore
Publication date:: 2023-05-06
Edition:: 1
DOI:: 10.1007/978-981-19-3079-9_86-1
EISBN:: 9789811930799
ISBN:: 9789811930799

Language:: English
Keywords:: hausdorff dimension

generic trees

spectral dimension

graph theoretic

causal triangulation

tree correspondence

scaling amplitude
Subtype:: Chapter
Pubs id:: 1311034
Local pid:: pubs:1311034
Deposit date:: 2022-12-02

Terms of use

Copyright holder:: Springer Nature Singapore Pte Ltd
Copyright date:: 2023
Rights statement:: © Springer Nature Singapore Pte Ltd. 2023.

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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