  We formulate a theory of Goldstone bosons and their interactions in the
superfluid and superconducting phase of dense nucleonic matter at densities of
relevance to the neutron star core. For typical neutron star temperatures in
the range T = 10^6 to 10^9 K, the Goldstone mode associated with rotational
symmetry, called angulons, couple weakly to each other and to electrons.
Consequently, these modes have anomalously large mean free paths and can
contribute to both diffusive and ballistic transport of heat and momentum. In
contrast, the two Goldstone bosons associated with density oscillations of the
neutron and electron + proton fluids, called superfluid phonons, mix and couple
strongly to electrons. They have shorter mean free paths, and their
contribution to transport is negligible. Long-wavelength superfluid phonons and
angulons can play a role in neutron star seismology, and lead to interesting
phenomenology as angulons couple to magnetic fields and have anisotropic
dispersion relations.
