  We study a Bosonic scalar in 1+1 dimensional curved space that is coupled to
a dynamical metric field. This metric, along with the affine connection, also
appears in the Einstein-Hilbert action when written in first order form. After
illustrating the Dirac constraint analysis in Yang-Mills theory, we apply this
formulation to the Einstein-Hilbert action and the action of the Bosonic scalar
field, first separately and then together. Only in the latter case does a
dynamical degree of freedom emerge.
