Abstract
The nature of axion cosmology is usually said to depend on whether the Peccei–Quinn(PQ) symmetry breaks before or after inflation. The PQ symmetry itself is believed to bean accident, so there is not necessarily a symmetry during inflation at all. We explore theseissues in some simple models, which provide examples of symmetry breaking before andafter inflation, or in which there is no symmetry during inflation and no phase transition atall. One effect of these observations is to relax the constraints from isocurvaturefluctuations due to the axion during inflation. We also observe new possibilities for evadingthe constraints due to cosmic strings and domain walls, but they seem less generic.
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