We present a nonperturbative approach which allows to evaluate the weak loc
alization correction to the conductivity of disordered conductors in the pr
esence of interactions. The effect of the electron-electron interaction on
the magnetoconductance is described by the function A(t) exp( -f(t)). The d
ephasing time is determined only by f(t), and this time remains finite down
to T = 0 due to the electron-electron interactions. In order to establish
the relation between our nonperturbative analysis and the perturbative resu
lts the effect of interaction on the pre-exponent A(t) should be taken into
account. The dephasing time cannot be unambiguously determined from a pert
urbative calculation (C) 2000 Elsevier Science B.V. All rights reserved.