[Jlab-seminars] Theory Center Seminar
Mary Fox
mfox at jlab.org
Fri Mar 27 11:47:36 EDT 2015
Theory Center Seminar
Monday, March 30, 2015
11:00 a.m.-12:00 noon (coffee at 10:45 a.m.)
CEBAF Center, Room F224/225
Carlos Ordonez
University of Houston
*Path-Integral Fujikawa's Approach to Anomalous Virial Theorems *
We derive anomalous equations of state for non-relativistic 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) Schrödinger 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
practicality of these ideas rests upon being able to compute in detail
the Fujikawa Jacobian that contains the anomaly.
This and other technical and conceptual issues and some recent results
on the calculaltion of the Jacobian will be
mentioned at the end of the seminar.
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