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Thesis

The QCD axion, generally

Abstract:
The parameter space to be probed in searches for the axion particle is vast and appears impractical unless more theoretical guidance is provided. This thesis explores the uses of generalised symmetries in identifying promising regions of parameter space for existing and novel experimental axion searches.

We consider the general form of the axion-photon coupling to all orders in the axion. We demonstrate that there exists a model-independent relationship between the axion-photon coupling and the axion mass through a non-invertible generalised symmetry of the axion, thus providing a correlation between the two quantities crucial to current axion searches.

We proceed by exploring the confinement of instantons. Motivated by the absence of global symmetries in quantum gravity, we demonstrate that the vacuum acts as a superconductor when a higher-form generalised symmetry of the particle dual to the axion is absent. In this superconducting phase, instantons are confined by the worldline action of a particle-like soliton travelling between the instantons. We calculate the cost of this additional worldline suppression, comment on the required particle spectrum, and relevance for the strong CP problem.

Finally, we study the minimal requirements to obtain axions of exponentially high quality while also being compatible with a post-inflationary scenario, thereby motivating axion searches in higher-mass regions. These ingredients occur in theories where an axion protected by a higher-form generalised symmetry mixes with the phase of a complex scalar field. We explore how these scenarios arise in extra-dimensional models, including heterotic string theory.

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
ORCID:
0000-0003-4106-6287

Contributors

Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Role:
Supervisor


More from this funder
Funder identifier:
https://ror.org/05j159997
Grant:
40038041
Programme:
Cultuurfondsbeurs
More from this funder
Funder identifier:
https://ror.org/057g20z61
Grant:
2397217
Programme:
STFC Studenship


DOI:
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford


Language:
English
Keywords:
Subjects:
Deposit date:
2026-01-29
ARK identifier:

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