Using spectroscopic data from the Deep Extragalactic Evolutionary Probe (DEEP) Groth Strip survey (DGSS), we analyze the gas-phase oxygen abundances for 56 emission-line field galaxies in the redshift range 0.26<z<0.82. Oxygen abundances relative to hydrogen range between 8.4<12+log(O/H)<9.0 with typical uncertainties of 0.17 dex. The 56 DGSS galaxies collectively exhibit a correlation between B-band luminosity and metallicity, i.e., an L-Z relation. Subsets of DGSS galaxies binned by redshift also exhibit L-Z correlations but with different zero points. Galaxies in the highest redshift bin (z=0.6-0.82) are brighter by ~1 mag compared to the lowest redshift bin (z=0.26-0.40) and brighter by ~1-2 mag compared to local (z<0.1) field galaxies. This offset from the local L-Z relation is greatest for objects at the low-luminosity (M_B ~ -19) end of the sample, and vanishingly small for objects at the high-luminosity end of the sample (M_B ~ -22). Thus, both the slope and zero point of the L-Z relation appear to evolve. Either the least-luminous DGSS field galaxies have faded by 1--2 mag due to decreasing levels of star formation, or they have experienced an increase in the mean metallicity of the interstellar medium by factors of 1.3--2 (0.1-0.3 dex). The relatively greater degree of luminosity and metallicity evolution seen among the lower luminosity (sub L*) galaxies in the last 8 Gyr implies either a more protracted assembly process, or a more recent formation epoch compared to more luminous L* galaxies. (abridged)
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