A metal surface generates electron states that do not exist in a bulk metal
. These so-called surface states can be classified into two categories, cry
stal-induced (intrinsic) states and image-potential-induced (image) states.
Here we present. a survey of current investigations on the origin of the d
ecay of these surface states. Inelastic lifetimes are obtained from the kno
wledge of the quasiparticle self-energy, which we compute, within the GW ap
proximation of many-body theory, by going beyond a free-electron descriptio
n of the surface. Surface-state lifetimes in noble metal surfaces are prese
nted. Our results show that actual lifetimes are highly sensitive to the de
tails of the surface response and to the presence of the intrinsic surface
state itself.