The Coulomb Gap is a phenomenon in which the long-ranged Coulomb repul
sions between localized electrons cause a soft gap to appear in the de
nsity of states at the Fermi surface, dominating transport processes.
A standard diagrammatic technique and a renormalization group philosop
hy are applied to this problem. The density of states (which correspon
ds to the two-point vertex function in our field theory) is renormaliz
ed by interactions, with a correction that is logarithmic in 1D. Thus
the RG is valid and an epsilon-expansion gives the density of states i
n other dimensionalities. It is found that the standard Efros-Shklovsk
ii theory of the Coulomb Gap is identical to the TAP theory of spin gl
asses. We speculate that by means of a diagrammatic expansion for the
beta-function, one can study the weak-disorder case, for which the sta
ndard theory breaks down.