  We propose a model for Quantum Chromodynamics, obtained by ignoring the
angular dependence of the gluon fields, which could qualitatively describe
systems containing one heavy quark. This leads to a two dimensional gauge
theory which has chiral symmetry and heavy quark symmetry. We show that in a
light cone formalism, the Hamiltonian of this spherical QCD can be expressed
entirely in terms of color singlet variables. Furthermore, in the large $N_c$
limit, it tends to a classical hadron theory. We derive an integral equation
for the masses and wavefunctions of a heavy meson. This can be interpreted as a
relativistic potential model. The integral equation is scale invariant, but
renormalization of the coupling constant generates a scale. We compute the
approximate beta function of the coupling constant, which has an ultraviolet
stable fixed point at the origin.
