  Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic
metallic tunnel junctions with high charging energies. If the resistance of the
barriers is large compared to the quantum resistance, transport can be
described by sequential tunneling. Here we study the influence of quantum
fluctuations. They are important when the resistance is small or the
temperature very low. A real-time approach is developed which allows the
diagrammatic classification of ``inelastic resonant tunneling'' processes where
different electrons tunnel coherently back and forth between the leads and the
metallic island. With the help of a nonperturbative resummation technique we
evaluate the spectral density which describes the charge excitations of the
system. From it physical quantities of interest like current and average charge
can be deduced. Our main conclusions are: An energy renormalization leads to a
logarithmic temperature dependence of the renormalized system parameters. A
finite lifetime broadening can change the classical picture drastically. It
gives rise to a strong flattening of the Coulomb oscillations for low
resistances, but in the Coulomb blockade regime inelastic electron cotunneling
persists. The temperature where these effects are important are accessible in
experiments.
