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Observations have revealed prodigious amounts of star formation in starburstgalaxies as traced by dust and molecular emission, even at large redshifts.Recent work shows that for both nearby spiral galaxies and distant starbursts,the global star formation rate, as indicated by the infrared luminosity, has atight and almost linear correlation with the amount of dense gas as traced bythe luminosity of HCN. Our surveys of Galactic dense cores in HCN 1-0 emissionshow that this correlation continues to a much smaller scale, with nearly thesame ratio of infrared luminosity to HCN luminosity found over 7-8 orders ofmagnitude in L_IR, with a lower cutoff around 10^{4.5} L_sun of infraredluminosity. The linear correlation suggests that we may understand distant starformation in terms of the known properties of local star-forming regions. Boththe correlation and the luminosity cutoff can be explained if the basic unit ofstar formation in galaxies is a dense core, similar to those studied in ourGalaxy.Comment: 10 pages, 2 figures. In press for ApJ Letter

Connecting Dense Gas Tracers of Star Formation in our Galaxy to High- z Star Formation