  We consider effects of Coulomb interaction in a granular normal metal at not
very low temperatures suppressing weak localization effects. In this limit
calculations with the initial electron Hamiltonian are reduced to integrations
over a phase variable with an effective action, which can be considered as a
bosonization for the granular metal. Conditions of the applicability of the
effective action are considered in detail and importance of winding numbers for
the phase variables is emphasized. Explicit calculations are carried out for
the conductivity and the tunneling density of states in the limits of large
$g\gg 1$ and small $g\ll 1$ tunnelling conductances. It is demonstrated for any
dimension of the array of the grains that at small $g$ the conductivity and the
tunnelling density of states decay with temperature exponentially. At large $g$
the conductivity also decays with decreasing the temparature and its
temperature dependence is logarithmic independent of dimensionality and
presence of a magnetic field. The tunnelling density of states for $g\gg 1$ is
anomalous in any dimension but the anomaly is stronger than logarithmic in low
dimensions and is similar to that for disordered systems. The formulae derived
are compared with existing experiments. The logarithmic behavior of the
conductivity at large $g$ obtained in our model can explain numerous
experiments on systems with a granular structure including some high $T_{c}$
materials.
