A Coherent State Path Integral for Anyons

We derive an $su(1,1)$ 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 $su(1,1)$ 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

Discretization of the Superparticle Path Integral

Requiring that the path integral has the global symmetries of the classical action and obeys the natural composition property of path integrals, and also that the discretized action has the correct naive continuum limit, we find a viable discretization of the (D=3,N=2) superparticle action.Comment: 10 page

Derivation of the Classical Lagrangian for the Relativistic Spinning Particle

The `classical' model for a massive spinning particle, which was recently proposed, is derived from the isotropic rotator model. Through this derivation, we note that the spin can be understood as the relativistic extension of the isotropic rotator. Furthermore, the variables t_\m corresponding to the \p^* of the `pseudo-classical' model, are necessary for the covariant formulation. The dynamical term for these extra variables is naturally obtained and the meaning of the constraint term p^\s\L_{\s\n}+mt_\n =0, which was recently shown to give `quasi-supersymmetry', is clarified.Comment: 8 pages, LaTe