We use a renormalization-group-improved local effective action of QCD to describe mesons that contain one heavy quark (D,F,B,${F}_{b}$,T,${F}_{t}$). We find a self-consistent Abelian solution to the classical equations of motion. The wave function of the light quark is obtained from solving the Dirac equation in the Abelian Coulomb-type field of the heavy quark, with the boundary condition \ensuremath{\psi}\ifmmode\bar\else\textasciimacron\fi{}\ensuremath{\psi}${\ensuremath{\Vert}}_{R}$=0. The radius R is obtained from the minimization of the total energy of the system U(R). The recoil of the heavy quark as well as its color-magnetic moment are treated as small perturbations. The only parameters are the unavoidable: the quark masses and ${\ensuremath{\Lambda}}_{\mathrm{MS}\mathrm{\ifmmode\bar\else\textasciimacron\fi{}}}$, where MS\ifmmode\bar\else\textasciimacron\fi{} is the modified minimal subtraction scheme. Our system exhibits linear confinement. For ${\ensuremath{\Lambda}}_{\mathrm{MS}\mathrm{\ifmmode\bar\else\textasciimacron\fi{}}=270}$ MeV, our string tension is \ensuremath{\sigma}\ensuremath{\equiv}dU/d(〈${r}^{2}$${〉}^{1/2}$)${\ensuremath{\Vert}}_{R\ensuremath{\rightarrow}\ensuremath{\infty}}$=( 378 MeV${)}^{2}$ in the log-log model. We obtain good agreement with all known spectroscopy using ${m}_{u}$=${m}_{d}$=0, ${m}_{s}$=0.215 GeV, ${m}_{c}$=1.60 GeV, and ${m}_{b}$=5.00 GeV. Predictions are made for as yet unobserved spectroscopy as well as for the rms radii of the mesons. We estimate the rates for electromagnetic transitions (${M}^{\mathrm{*}}$\ensuremath{\rightarrow}M+\ensuremath{\gamma}), leptonic decays (M\ensuremath{\rightarrow}l\ensuremath{\nu}), and single-pion emission (${M}^{\mathrm{*}}$\ensuremath{\rightarrow}M+\ensuremath{\pi}). Good agreement is found for the rates that have been measured.