Scale anomalies in non-relativistic field theories in 2+1 dimensions

Details Scale anomalies in non-relativistic field theories in 2+1 dimensions Scale anomalies in non-relativistic field theories in 2+1 dimensions

1993-07-06

arxiv.org/abs/hep-th/9307034v1

Phys.Rev. D49 (1994) 4299-4301

Physics

High Energy Physics

High Energy Physics - Theory

6, OSLO-TP 10-93

Scientific paper

10.1103/PhysRevD.49.4299

{}From the one-loop effective potential for a gas of non-relativistic bosons in two spatial dimensions interacting via a delta-function potential at zero-temperature and finite chemical potential, the anomaly of the energy-momentum tensor follows directly. It is also similarly derived when the bosons have an additional Chern-Simons interaction. In the special case of anyons, the scale anomaly vanishes to one-loop order in the effective potential and also to second order in the statistical angle.

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