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On background-independent renormalization of spin foam models

Name: On background-independent renormalization of spin foam models
Creator: Benjamin Bahr
Keywords: High Energy Physics - Theory, High Energy Physics - Theory (hep-th), 0103 physical sciences, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), 01 natural sciences, General Relativity and Quantum Cosmology

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 15 Sep 2016Embargo end date: 01 Jan 2014Publisher:IOP PublishingJournal:Classical and Quantum Gravity, volume 34, page 75,001 (issn: 0264-9381, eissn: 1361-6382,

Authors: Benjamin Bahr;

doi: 10.1088/1361-6382/aa5e13 , 10.22323/1.224.0157 , 10.48550/arxiv.1407.7746

arXiv: http://arxiv.org/abs/1407.7746

On background-independent renormalization of spin foam models

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Abstract

In this article we discuss an implementation of renormalization group ideas to spin foam models, where there is no a priori length scale with which to define the flow. In the context of the continuum limit of these models, we show how the notion of cylindrical consistency of path integral measures gives a natural analogue of Wilson's RG flow equations for background-independent systems. We discuss the conditions for the continuum measures to be diffeomorphism-invariant, and consider both exact and approximate examples.

23 pages, 12 figures, updated references

Related Organizations

Universität Hamburg
Germany

Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), General Relativity and Quantum Cosmology

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