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We present results from a statistical analysis of 173 bright radio-quiet AGNsselected from the Chandra Deep Field-North and Chandra Deep Field-South surveys(hereafter, CDFs) in the redshift range of 0.1 < z < 4. We find that the X-raypower-law photon index (Gamma) of radio-quiet AGNs is correlated with their2-10 keV rest-frame X-ray luminosity (L_X) at the > 99.5 percent confidencelevel in two redshift bins, 0.3 < z < 0.96, and 1.5 < z < 3.3 and is slightlyless significant in the redshift bin 0.96 < z < 1.5. We investigate theredshift evolution of the correlation between the power-law photon index andthe hard X-ray luminosity and find that the slope and offset of a linear fit tothe correlation change significantly (at the > 99.9 percent confidence level)between redshift bins of 0.3 < z < 0.96 and 1.5 < z < 3.3. We explore physicalscenarios explaining the origin of this correlation and its possible evolutionwith redshift in the context of steady corona models focusing on its dependencyon variations of the properties of the hot corona with redshift.

Confirmation of a correlation between the X-ray luminosity and spectral slope of AGNs in the Chandra Deep Fields