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Theory Center Seminar<br>
Monday, March 30, 2015<br>
11:00 a.m.-12:00 noon (coffee at 10:45 a.m.)<br>
CEBAF Center, Room F224/225<br>
<br>
<br>
Carlos Ordonez<br>
University of Houston<br>
<br>
<b>Path-Integral Fujikawa's Approach to Anomalous Virial Theorems </b><br>
<br>
We derive anomalous equations of state for non-relativistic 2D
complex bosonic fields with contact interactions, using<br>
Fujikawa's path-integral approach to anomalies and scaling
arguments. In the process, we derive an anomalous virial<br>
theorem for such systems. The methods used are easily generalizable
for other 2D systems, including fermionic ones,<br>
and of different spatial dimensionality, all of which share a
classical SO(2,1) <span class="st">Schrödinger</span> symmetry. The
discussion is of<br>
a more formal nature and is intended mainly to shed light on the
structure of anomalies in 2D many-body systems. The<br>
practicality of these ideas rests upon being able to compute in
detail the Fujikawa Jacobian that contains the anomaly. <br>
This and other technical and conceptual issues and some recent
results on the calculaltion of the Jacobian will be <br>
mentioned at the end of the seminar.
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