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The Far-Infrared Luminosity Function from GOODS-N: Constraining the Evolution of Infrared Galaxies for z \leq 1

We present the IR luminosity function derived from ultra-deep 70 micron imaging of the GOODS-North field. The 70 micron observations are longward of the PAH and silicate features which complicate work in the MIR. We derive far-infrared luminosities for the 143 sources with S_{70} > 2 mJy (S/N > 3 σ). The majority (81%) of the sources have spectroscopic redshifts, and photometric redshifts are calculated for the remainder. The IR luminosity function at four redshifts (z ~ 0.28, 0.48, 0.78, and 0.97) is derived and compared to the local one. There is considerable degeneracy between luminosity and density evolution. If the evolving luminosity function is described as ρ(L, z) = (1 + z)^q ρ(L/(1 + z)^p, 0), we find q = -2.19p + 6.09. In the case of pure luminosity evolution, we find a best fit of p = 2.78^{+0.34}_{-0.32}. This is consistent with the results from 24 micron and 1.4 GHz studies. Our results confirm the emerging picture of strong evolution in LIRGs and ULIRGs at 0.4 < z < 1.1, but we find no evidence of significant evolution in the sub-LIRG (L < 10^{11} L_{\odot}) population for z < 0.4.