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