Particles of fractional statistics living on a two-dimensional surface-anyons-are of importance
for the theory of the quantum Hall effect and for the possibility of a new mechanism of …

This book explains the subtleties of quantum statistical mechanics in lower dimensions and
their possible ramifications in quantum theory. The discussion is at a pedagogical level and …

Abstract We quantize the (2+ 1)-dimensional Chern-Simons theory in the functional
Schrödinger representation. The realization of gauge transformations on states involves a 1 …

The model of the relativistic particle with torsion, whose action appears in the Bose-Fermi
transmutation mechanism, is canonically quantized in the Minkowski and euclidean spaces …

We review work on constrained systems in which (3+ 1)-dimensional field theories are
reduced to effective (2+ 1)-dimensional ones. Known results are extended to encompass the …

We use the field theory description of the fractional quantum Hall states to derive the
universal response of these topological fluids to shear deformations and curvature of their …

We consider a three-dimensional model of spinor fields with a Thirring-like, quadrilinear self-
interaction. Using either two-or four-component Dirac spinors, we prove that the 1 N …

We calculate the effective gauge field action due to a single two-component fermion of mass
m and charge e, using a cubic lattice as an ultra-violet regulator and Wilson type fermion …

It is shown that any theory of charged fermions coupled to an abelian gauge field with Chern-
Simons term in the action is equivalent to some local theory of (locally gauge invariant) …

General solutions of the classical equations of motion for a relativistic particle with torsion
are constructed in the massive, massless and tachyonic sectors. It is shown that the …