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 …

Self-duality greatly reduces the mathematical difficulties of a theory but it is also a notion of
considerable physical significance. The new class of self-dual Chern-Simons theories …

We perform a perturbative analysis of the Aharonov-Bohm problem to one loop in a field-
theoretic formulation and show that contact interactions are necessary for renormalizability …

We construct a nonrelativistic scalar field theory with a quartic self-interaction in 2+ 1
dimensions as an infinite mass limit of a relativistic theory, and calculate the two-particle …

The one-loop effective potential for nonrelativistic bosons with a delta function repulsive
potential is calculated for a given chemical potential using functional methods. After …

A many-body Schrödinger equation for non-Abelian Chern-Simons particles is obtained
from both point-particle and field-theoretic pictures. We present a particle Lagrangian and a …

We consider an interacting homogeneous Bose gas at zero temperature in two spatial
dimensions. The properties of the system can be calculated as an expansion in powers of g …

We construct exact soliton solutions to the Chern-Simons-Higgs system in non-commutative
space, for non-relativistic and relativistic models. In both cases we find regular vortex-like …

Differential regularization is applied to a field theory of a nonrelativistic charged boson field
φ with λ (φ* φ) 2 self-interaction and coupling to a statistics-changing U (1) Chern-Simons …

Bosonic end perturbative calculations for quantum mechanical anyon systems require a
regularization. I regularize by adding a specific δ-function potential to the Hamiltonian. The …