  We discuss the influence of the electromagnetic environment and the
electron-electron interaction on the weak localization correction to the
conductivity of a disordered metal. The theory of this phenomenon for
sufficiently high temperature, where the quantum nature of the interaction of
electrons with the electromagnetic field can be disregarded, has been
understood for some time. We consider the first order quantum correction to
this semiclassical description and work out the temperature range in which this
correction is small. No external low frequency cut-off is needed in our
calculation. We conclude that in the whole region of temperature where the weak
localization correction is much smaller than the Drude conductivity the
classical treatment of the interaction is valid.
