Axial Anomaly in Galaxies and the Dark Universe
  Motivated by the SU(2)$_{\rm CMB}$ modification of the cosmological model
$\Lambda$CDM, we consider isolated fuzzy-dark-matter lumps, made of ultralight
axion particles whose masses arise due to distinct SU(2) Yang-Mills scales and
the Planck mass $M_P$. In contrast to SU(2)$_{\rm CMB}$, these Yang-Mills
theories are in confining phases (zero temperature) throughout most of the
Universe's history and associate with the three lepton flavours of the Standard
Model of particle physics. As the Universe expands, axionic fuzzy dark matter
comprises a three-component fluid which undergoes certain depercolation
transitions when dark energy (a global axion condensate) is converted into dark
matter. We extract the lightest axion mass $m_{a,e}= 0.675\times 10^{-23}\,$eV
from well motivated model fits to observed rotation curves in
low-surface-brightness galaxies (SPARC catalogue). Since the virial mass of an
isolated lump solely depends on $M_P$ and the associated Yang-Mills scale the
properties of an e-lump predict those of $\mu$- and $\tau$-lumps. As a result,
a typical e-lump virial mass $\sim 6.3\times 10^{10}\,M_\odot$ suggests that
massive compact objects in galactic centers such as Sagittarius A$^*$ in the
Milky Way are (merged) $\mu$- and $\tau$-lumps. In addition, $\tau$-lumps may
constitute globular clusters. SU(2)$_{\rm CMB}$ is always thermalised, and its
axion condensate never has depercolated. If the axial anomaly indeed would link
leptons with dark matter and the CMB with dark energy then this would demystify
the dark Universe through a firmly established feature of particle physics.
