Thermodynamic stability of a cosmological SU(2)-weak gauge field
  The CGF cosmology is a complete theory of cosmology from the electroweak
transition onward. It is semi-classical. At leading order the only matter is
dark matter -- a cosmological SU(2)-weak gauge field (the CGF). Ordinary matter
is a subleading correction from fluctuations around the classical state. The
CGF is periodic in imaginary time. It acts as thermal bath for the fluctuations
of the Standard Model fields. Here, the initial thermal state of the SU(2)
gauge field fluctuations is constructed and shown to be thermodynamically
stable. This is a warm-up for (1) constructing the initial thermal state of all
the fluctuations in order to calculate its time evolution and (2) showing that
initial state to be thermodynamically stable in order to show that the CGF
cosmology is physically natural.
