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

{}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 boson...

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Bibliographic Details
Published in:arXiv.org 1993-07
Main Authors: Haugset, T, Ravndal, F
Format: Article
Language:English
Subjects:
Anomalies
Bosons
Chemical potential
Organic chemistry
Relativism
Relativistic effects
Relativistic theory
Tensors
Online Access:Get full text
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Summary:{}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.
ISSN:2331-8422
DOI:10.48550/arxiv.9307034