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

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.

6, OSLO-TP 10-93

References in corpus (5)

• Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
• Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
• Differential Regularization of a Non-relativistic Anyon Model
• Pressure in Chern-Simons Field Theory to Three-Loop Order
• Three-Loop Calculation of the Anyonic Full Cluster Expansion

Cited by in corpus (6)

• Schr"odinger invariance and space-time symmetries
• Ground State of a trapped Bose-Einstein Condensate in Two Dimensions; Beyond the Mean-field Approximation
• A Quantum Field-Theoretical Perspective on Scale Anomalies in 1D systems with Three-Body Interactions
• Path-Integral Derivation of the Non-relativistic Scale Anomaly
• Bose and Fermi Statistics and the Regularization of the Nonrelativistic Jacobian for the Scale Anomaly
• Dilational Symmetry-Breaking in Thermodynamics