  We study the low-temperature behaviour of the classical Heisenberg
antiferromagnet with nearest neighbour interactions on the pyrochlore lattice.
Because of geometrical frustration, the ground state of this model has an
extensive number of degrees of freedom. We show, by analysing the effects of
small fluctuations around the ground-state manifold, and from the results of
Monte Carlo and molecular dynamics simulations, that the system is disordered
at all temperatures, T, and has a finite relaxation time, which varies as 1/T
for small T.
