  We numerically study the non-equilibrium dynamics of the three dimensional
Heisenberg Edwards-Anderson spin glass following a sudden quench to its low
temperature phase. The subsequent aging behavior of the system is analyzed in
detail, and the scaling behavior of various space-time correlation functions is
investigated for both spin and chiral degrees of freedom. We carefully compare
our results with those obtained from simulations of the more studied Ising
version of the model, and with experiments on real spin glasses in which the
spins have vectorial character. Finally, the present dynamical study offers new
perspectives into the possibility of spin-chirality decoupling at low
temperature in vectorial spin glasses.
