Wormholes and masses for Goldstone bosons
arXiv:1706.07415
Abstract
There exist non-trivial stationary points of the Euclidean action for an axion particle minimally coupled to Einstein gravity, dubbed wormholes. They explicitly break the continuos global shift symmetry of the axion in a non-perturbative way, and generate an effective potential that may compete with QCD depending on the value of the axion decay constant. In this paper, we explore both theoretical and phenomenological aspects of this issue. On the theory side, we address the problem of stability of the wormhole solutions, and we show that the spectrum of the quadratic action features only positive eigenvalues. On the phenomenological side, we discuss, beside the obvious application to the QCD axion, relevant consequences for models with ultralight dark matter, black hole superradiance, and the relaxation of the electroweak scale. We conclude discussing wormhole solutions for a generic coset and the potential they generate.
50 pages, 15 figures. v2: minor changes, refs added
References in corpus (11)
- Ultralight scalars as cosmological dark matter
- Too big to fail? The puzzling darkness of massive Milky Way subhaloes
- Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
- Discovering the QCD Axion with Black Holes and Gravitational Waves
- Bose-Einstein Condensation of Dark Matter Axions
- Gravitational wave searches for ultralight bosons with LIGO and LISA
- Stochastic and resolvable gravitational waves from ultralight bosons
- Bose-Einstein condensation of dark matter solves the core/cusp problem
- The Quest for an Intermediate-Scale Accidental Axion and Further ALPs
- Axion cold dark matter in view of BICEP2 results
- Cosmological production of ultralight dark matter axions