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A systematic search for a critical point in the phase diagram of QCD matteris underway at the Relativistic Heavy Ion Collider (RHIC) and is planned atseveral future facilities. Its existence, if confirmed, and its location willgreatly enhance our understanding of QCD. In this note we emphasize severalimportant issues that are often not fully recognized in theoreticalinterpretations of experimental results relevant to the critical point search.We discuss ways in which our understanding on these issues can be improved.

Issues with Search for Critical Point in QCD with Relativistic Heavy Ion Collisions