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Achieving a precise understanding of galaxy formation in a cosmologicalcontext is one of the great challenges in theoretical astrophysics, due to thevast range of spatial scales involved in the relevant physical processes.Observations in the millimeter bands, particularly those using the cosmicmicrowave background (CMB) radiation as a "backlight", provide a unique probeof the thermodynamics of these processes, with the capability to directlymeasure the density, pressure, and temperature of ionized gas. Moreover, theseobservations have uniquely high sensitivity into the outskirts of the halos ofgalaxies and clusters, including systems at high redshift. In the next decade,the combination of large spectroscopic and photometric optical galaxy surveysand wide-field, low-noise CMB surveys will transform our understanding ofgalaxy formation via these probes.

Probing Feedback in Galaxy Formation with Millimeter-wave Observations