ar X iv : h ep - t h / 95 03 06 1 v 1 9 M ar 1 99 5 Spinor vortices in non - relativistic Chern - Simons theory

ar X iv : h ep - t h / 95 10 11 4 v 1 1 7 O ct 1 99 5 Spinors in non - relativistic Chern - Simons electrodynamics

It is shown that the non-relativistic 'Dirac' equation of Lévy-Leblond, we used recently to describe a spin 1 2 field interacting non-relativistically with a Chern-Simons gauge field, can be obtained by lightlike reduction from 3 + 1 dimensions. This allows us to prove that the system is Schrödinger symmetric. A spinor representation of the Schrödinger group is presented. Static, self-dual solu...

ar X iv : h ep - t h / 98 03 07 9 v 1 1 0 M ar 1 99 8 Causal Theory for the Gauged Thirring Model

We consider the (2 + 1)-dimensional massive Thirring model as a gauge theory, with one fermion flavor, in the framework of the causal perturbation theory and address the problem of dynamical mass generation for the gauge boson. In this context we get an unambiguous expression for the coefficient of the induced Chern-Simons term.

ar X iv : h ep - t h / 93 10 09 9 v 2 2 8 O ct 1 99 3 Chern - Simons Soliton Dynamics in Modular Parameter

We study dynamics of non-relativistic Chern-Simons solitons, both in the absence and in the presence of external fields. We find that a phase, related to the 1-cocyle of the Galileo group, must be included to give the correct dy-namical behavior. We show that interactions among Chern-Simons solitons are mediated by an effective Chern-Simons gauge field induced by the soli-tons. In the two solit...

Vortices in (abelian) Chern-Simons gauge theory

The vortex solutions of various classical planar field theories with (abelian) Chern-Simons term are reviewed. Relativistic vortices, put forward by Paul and Khare, arise when the Abelian Higgs model is augmented with the Chern-Simons term. Adding a suitable sixth-order potential and turning off the Maxwell term provides us with pure Chern-Simons theory with both topological and non-topological...

ar X iv : h ep - t h / 98 11 08 5 v 1 9 N ov 1 99 8 Vortex Solutions in the Chern - Simons Stuekelberg Model