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arXiv · hep-th/9307034

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

T. Haugset·F. Ravndal
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Abstract

{}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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T. Haugset, F. Ravndal. 1993-07-06. Scale anomalies in non-relativistic field theories in 2+1 dimensions. https://doi.org/10.1103/physrevd.49.4299

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