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Quantum gravity and the renormalization group

Quantum gravity and the renormalization group
Quantum gravity and the renormalization group
This work seeks to address the problem of quantum gravity from the point of view ofthe renormalisation group. After the introduction of the needed concepts, it is seenthat a problem of quantum gravity that stems from the “conformal factor instability”,if the consequences are fully explored, can open the door to a rich phenomenology. Inparticular, it is seen that toric universes can be constrained to be highly symmetricwhen sufficiently small, which is potentially applicable to the initial conditions forinflation. The idea of regularising gravity via a supermanifold is covered, followingsimilar treatments of gauge theory in order to preserve the symmetry (diffeomorphisminvariance) at all points along the renormalization group flow. Furthermore, themachinery provided by the conformal factor instability provides us with a genuinelyperturbative theory of quantum gravity, which can be calculated to have the sameeffective action as one might expect, but the understanding of the QFT is verydifferent, with the Gaussian fixed point being defined “off space-time”.
University of Southampton
Kellett, Matthew Peter
45588983-7fa8-4eb1-abdf-f782d3bfe6ad
Kellett, Matthew Peter
45588983-7fa8-4eb1-abdf-f782d3bfe6ad
Drummond, James
3ea15544-457f-4e72-8ad0-60f3136841db

Kellett, Matthew Peter (2020) Quantum gravity and the renormalization group. Doctoral Thesis, 141pp.

Record type: Thesis (Doctoral)

Abstract

This work seeks to address the problem of quantum gravity from the point of view ofthe renormalisation group. After the introduction of the needed concepts, it is seenthat a problem of quantum gravity that stems from the “conformal factor instability”,if the consequences are fully explored, can open the door to a rich phenomenology. Inparticular, it is seen that toric universes can be constrained to be highly symmetricwhen sufficiently small, which is potentially applicable to the initial conditions forinflation. The idea of regularising gravity via a supermanifold is covered, followingsimilar treatments of gauge theory in order to preserve the symmetry (diffeomorphisminvariance) at all points along the renormalization group flow. Furthermore, themachinery provided by the conformal factor instability provides us with a genuinelyperturbative theory of quantum gravity, which can be calculated to have the sameeffective action as one might expect, but the understanding of the QFT is verydifferent, with the Gaussian fixed point being defined “off space-time”.

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Published date: December 2020

Identifiers

Local EPrints ID: 446964
URI: http://eprints.soton.ac.uk/id/eprint/446964
PURE UUID: 87e254fa-694c-4658-b427-fdcbd5ca7f62
ORCID for Matthew Peter Kellett: ORCID iD orcid.org/0000-0001-9573-4127

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Date deposited: 01 Mar 2021 17:30
Last modified: 02 Mar 2021 02:49

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Contributors

Author: Matthew Peter Kellett ORCID iD
Thesis advisor: James Drummond

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