From quantum gravity to quantum field theory via noncommutative geometry

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Original languageEnglish
Article number035018
JournalClassical and quantum gravity
Volume31
Issue number3
Publication statusPublished - 10 Jan 2014

Abstract

A link between canonical quantum gravity and fermionic quantum field theory is established in this paper. From a spectral triple construction, which encodes the kinematics of quantum gravity, we construct semi-classical states which, in a semi-classical limit, give a system of interacting fermions in an ambient gravitational field. The emergent interaction involves flux tubes of the gravitational field. In the additional limit, where all gravitational degrees of freedom are turned off, a free fermionic quantum field theory emerges.

Keywords

    noncommutative geometry, quantum field theory, quantum gravity

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Cite this

From quantum gravity to quantum field theory via noncommutative geometry. / Aastrup, Johannes; Grimstrup, Jesper Møller.
In: Classical and quantum gravity, Vol. 31, No. 3, 035018, 10.01.2014.

Research output: Contribution to journalArticleResearchpeer review

Aastrup J, Grimstrup JM. From quantum gravity to quantum field theory via noncommutative geometry. Classical and quantum gravity. 2014 Jan 10;31(3):035018. doi: 10.48550/arXiv.1105.0194, 10.1088/0264-9381/31/3/035018
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