We study a D-dimensional interface driven in a disordered medium. We d
erive finite-temperature and velocity functional renormalization group
(FRG) equations, valid ill a epsilon = 4 - D expansion. These equatio
ns allow in principle for a complete study of the velocity v vs. appli
ed force density f characteristics. We focus here on the creep regime
at finite temperature and small velocity. We show how the FRG approach
gives the form of the v-f characteristics sn this regime, and in part
icular the creep exponent, obtained previously only through phenomenol
ogical scaling arguments.