Scale anomalies in nonrelativistic field theories in 2+1 dimensions

From the one-loop effective potential for a gas of nonrelativistic 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...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1994-04, Vol.49 (8), p.4299-4301
Main Authors: Haugset, T, Ravndal, F
Format: Article
Language:English
Subjects:
661300 > Other Aspects of Physical Science-- (1992-)
662210 > Specific Theories & Interaction Models
ANYONS
BOSONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COUPLING CONSTANTS
ENERGY-MOMENTUM TENSOR
FIELD THEORIES
Particle Systematics > Unified Theories & Models > (1992-)
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIALS
QUASI PARTICLES
TENSORS 661100 > Classical & Quantum Mechanics-- (1992-)
THREE-DIMENSIONAL CALCULATIONS
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Summary:From the one-loop effective potential for a gas of nonrelativistic 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:0556-2821
1089-4918
DOI:10.1103/PhysRevD.49.4299