  In this paper we show that the regulator defined by Goncharov from higher
algebraic Chow groups to Deligne-Beilinson cohomology agrees with Beilinson's
regulator. We give a direct comparison of Goncharov's regulator to the
construction given by Burgos and Feliu. As a consequence, we show that the
higher arithmetic Chow groups defined by Goncharov agree, for all projective
arithmetic varieties over an arithmetic field, with the ones defined by Burgos
and Feliu.
