9,388 research outputs found
A Coherent State Path Integral for Anyons
We derive an coherent state path integral formula for a system of
two one-dimensional anyons in a harmonic potential. By a change of variables we
transform this integral into a coherent states path integral for a harmonic
oscillator with a shifted energy. The shift is the same as the one obtained for
anyons by other methods. We justify the procedure by showing that the change of
variables corresponds to a version of the Holstein-Primakoff
transformation.Comment: Latex 6 pages, USITP-94-1
The QCD Trace Anomaly as a Vacuum Effect (The vacuum is a medium is the message!)
We use arguments taken from the electrodynamics of media to deduce the QCD
trace anomaly from the expression for the vacuum energy in the presence of an
external color magnetic field.Comment: 18 pages, USITP 94-1
Anyons on Higher Genus Surfaces - a Constructive Approach
We reconsider the problem of anyons on higher genus surfaces by embedding
them in three dimensional space. From a concrete realization based on three
dimensional flux tubes bound to charges moving on the surface, we explicitly
derive all the representations of the spinning braid group. The component
structure of the wave functions arises from winding the flux tubes around the
handles. We also argue that the anyons in our construction must fulfil the
generalized spin-statistics relation.Comment: 8 pages, LaTex, 2 figures available on request ([email protected]),
USITP-93-1
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