Einstein's gravity and the standard model of particle physics describe our
knowledge of the fundamental interactions. Following a period of fragmentation
and separate development of the two theories, several important connections came
to light in recent years. In this talk it will be explained how effective field
theory techniques which originate in particle physics bring insight and results
into the two-body problem in Einstein's gravity. This theoretical problem is
essential for the world-wide effort to detect gravitational waves and use them
for a new astronomy.
We shall discuss how deep concepts of perturbative quantum field theory appear in classical field theory, including Feynman rules, regularizing divergences and renormalization. We shall also explain a novel decomposition of Einstein's metric field in the non-relativistic limit.