For relativistic three-body calculations, essentially two different ap
proaches are in use: field theory and relativistic direct interactions
. However, while results based upon relativistic field theory show an
increase of the triton binding energy by about 0.3 MeV due to relativi
stic effects, calculations that claim to apply relativistic direct int
eractions obtain 0.3 MeV repulsion. In this paper, we discuss the orig
in of such a discrepancy. We show that the use of an invariant two-bod
y amplitude increases the triton binding energy by about 0.3 MeV, cons
istent with the results from relativistic field theory. Furthermore, w
e point out that in calculations relying on the direct-interactions ap
proach, indeed p/m expansions are used, which may be a bad approximati
on and the reason for the discrepancy.