On background-independent renormalization of spin foam models. (7th March 2017)

• Record Type: Journal Article
• Authors: Bahr, Benjamin
• Is Part Of: Classical and quantum gravity. Volume 34:Number 7(2017:Apr.)
• Publication Date: 2017-03-07
• Subjects: loop quantum gravity -- renormalization -- background-independence -- spin foam models; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/aa5e13
• Languages: English
• ISSNs: 0264-9381

Abstract

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.