We study the band-gap renormalization (BGR) in semiconductor quantum w
ires. Assuming an electron-hole system in quasi-equilibrium, we employ
the random-phase approximation (RPA) and beyond (e.g., focal-field co
rrections) to calculate the electron and the hole self-energies. The p
lasmon-pole approximation to the static dielectric function epsilon(q)
agrees well with the RPA result. Our results for the BGR are compared
with the recent experimental measurements and other theoretical calcu
lations.