Quintessential Affleck-Dine baryogenesis with non-minimal couplings
  We present a novel Affleck-Dine scenario for the generation of the observed
baryon asymmetry of the Universe based on the non-trivial interplay between
quintessential inflationary models containing a kinetic dominated
post-inflationary era and a non-minimally coupled $U(1)$ field with a weakly
broken $B-L$ symmetry. The non-minimal coupling to gravity renders heavy the
Affleck-Dine field during inflation and avoids the generation of isocurvature
fluctuations. During the subsequent kinetic era the Ricci scalar changes sign
and the effective mass term of the Affleck-Dine field becomes tachyonic. This
allows the field to dynamically acquire a large expectation value. The symmetry
of the Affleck-Dine potential is automatically restored at the onset of
radiation domination, when the Ricci scalar approximately equals zero. This
inverse phase transition results in the coherent oscillation of the scalar
field around the origin of its effective potential. The rotation of the
displaced Affleck-Dine field in the complex plane generates a non-zero $B-L$
asymmetry which can be eventually converted into a baryon asymmetry via the
usual transfer mechanisms.
