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We study the dependence of the number density and properties of quasars onthe background galaxy density using the currently largest spectroscopicdatasets of quasars and galaxies. We construct a galaxy number density fieldsmoothed over the variable smoothing scale of between approximately 10 and$20\,h^{-1}$Mpc over the redshift range of $0.46<z<0.59$ using the SloanDigital Sky Survey (SDSS) Data Release 12 (DR12) Constant MASS (CMASS)galaxies. The quasar sample is prepared from the SDSS I/II DR7. We examine thecorrelation of incidence of quasars with the large-scale background density anddependence of quasar properties such as bolometric luminosity, black hole mass,and Eddington ratio on the large-scale density. We find a monotonic correlationbetween the quasar number density and large-scale galaxy number density, whichis fitted well with a power law relation, $n_Q\propto\rho_G^{0.618}$. We detectweak dependences of quasar properties on the large-scale density such as apositive correlation between black hole mass and density, and a negativecorrelation between luminosity and density. We discuss the possibility of usingquasars as a tracer of large-scale structures at high redshifts, which may beuseful for studies of growth of structures in the high redshift universe.

Quasars as a tracer of large-scale structures in the distant universe