  We review arguments that chiral symmetry breaking is triggered when the quark
bilinear condensate's dimension passes through one ($\gamma=1$). This is
supported by gap equations and more recently holographic models. Confinement
may then be a separate property of the pure Yang-Mills theory below the scale
of the dynamically generated quark mass, occurring at the scale of the pole in
the deep IR running. Here, we use perturbative results for the running of the
gauge coupling and $\gamma$ in asymptotically free SU($N_c$) gauge theories
with matter in higher dimension representations to seek the best candidate
theories where confinement and chiral symmetry breaking can be maximally
separated. For example, SU(2) gauge theory with a single Weyl quark in the
$S_3$ (dimension 4) representation may have a factor of 20 separation in scale.
Such a theory could be simulated on the lattice to test the separation. We also
propose studying multi-representation theories where the higher dimension
representation forms a condensate at one scale that can be quite separate from
the condensation scale of the second representation matter. The confinement
scale would presumably be below the second scale. For example, SU(3) gauge
theory with a Weyl adjoint fermion and ten fundamental quarks may have a
separation of a factor of 20 also.
