  We derive anomalous equations of state for nonrelativistic 2D complex bosonic
fields with contact interactions, using Fujikawa's path-integral approach to
anomalies and scaling arguments. In the process, we derive an anomalous virial
theorem for such systems. The methods used are easily generalizable for other
2D systems, including fermionic ones, and of different spatial dimensionality,
all of which share a classical $SO(2,1)$ Schrodinger symmetry. The discussion
is of a more formal nature and is intended mainly to shed light on the
structure of anomalies in 2D many-body systems. The anomaly corrections to the
virial theorem and equation of state - pressure relationship - may be
identified as the Tan contact term. The practicality of these ideas rests upon
being able to compute in detail the Fujikawa Jacobian that contains the
anomaly. This and other conceptual issues, as well as some recent developments,
are discussed at the end of the paper.
