We have measured the magnetoresistance of narrow (600-1000 angstrom) a
nd thin (150-200 angstrom) gold films, one dimensional with respect to
weak localization and electron-electron interaction effects. It is sh
own that electron-electron collisions with small energy transfer (Nyqu
ist phase-breaking mechanism) govern the phase relaxation in such film
s over a wide temperature range. The Nyquist time tau(N) was estimated
from the magnetoresistance data on the basis of the theoretical depen
dence DELTAR(loc)(H) that is applicable to the case when Nyquist phase
relaxation dominates other phase-breaking proceses. The temperature d
ependence tau(N)(T) is-proportional-to T-2/3 obtained in this way is i
n good agreement with the theoretical prediction for one-dimensional c
onductors.