  The axion is a motivated dark matter candidate, so it would be interesting to
find features in Large Scale Structures specific to axion dark matter. Such
features were proposed for a Bose Einstein condensate of axions, leading to
confusion in the literature (to which I contributed) about whether axions
condense due to their gravitational interactions. This note argues that the
Bose Einstein condensation of axions is a red herring: the axion dark matter
produced by the misalignment mechanism is already a classical field, which has
the distinctive features attributed to the axion condensate (BE condensates are
described as classical fields). This note also estimates that the rate at which
axion particles condense to the field, or the field evaporates to particles, is
negligeable.
