Planck-Scale Physics and the Peccei-Quinn Mechanism
Marc Kamionkowski, John March-Russell

TL;DR
This paper examines how Planck-scale physics-induced global symmetry violations impact the axion field and the Peccei-Quinn solution to the strong-CP problem, questioning its naturalness and implications for cosmology.
Contribution
It analyzes the effects of higher-dimension operators from Planck-scale physics on global symmetries and the axion's role in solving the strong-CP problem.
Findings
Global-symmetry violating operators alter axion properties
The Peccei-Quinn solution becomes less natural due to Planck-scale effects
Implications for cosmology and other global symmetries are significant
Abstract
Global-symmetry violating higher-dimension operators, expected to be induced by Planck-scale physics, in general drastically alter the properties of the axion field associated with the Peccei-Quinn solution to the strong-CP problem, and render this solution unnatural. The particle physics and cosmology associated with other global symmetries can also be significantly changed.
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