  In this paper, we consider the Cauchy problem to the heat conductive
compressible Navier-Stokes equations in the presence of vacuum and with vacuum
far field. Global well-posedness of strong solutions is established under the
assumption, among some other regularity and compatibility conditions, that the
scaling invariant quantity
$\|\rho_0\|_\infty(\|\rho_0\|_3+\|\rho_0\|_\infty^2\|\sqrt{\rho_0}u_0\|_2^2)(\|\nabla
u_0\|_2^2+\|\rho_0\|_\infty\|\sqrt{\rho_0}E_0\|_2^2)$ is sufficiently small,
with the smallness depending only on the parameters $R, \gamma, \mu, \lambda,$
and $\kappa$ in the system. The total mass can be either finite or infinite.
