Quantum Chromodynamics (QCD) is a quantum field theory of the strong interaction with
non-abelian gauge fields mediating the interactions between quarks. The experimentally …

Electric charge of a fermion that is coupled only to the gauge field of an abelian vortex need
not be quantized, in contrast the situation for a magnetic monopole field. Correspondingly …

Classical solutions play an important role in quantum field theory, high-energy physics and
cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles …

Self-dual Chern-Simons vortices Page 1 VOLUME 64, NUMBER 19 PHYSICAL REVIEW
LETTERS 7 MAY 1990 Self-Dual Chem-Simous Vortices R. Jackiw ' and Erick J. Weinberg …

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 …

In the last decade methods and techniques based on supersymmetry have provided deep
insights in quantum chromodynamics and other non-supersymmetric gauge theories at …

We prove that a set of N not necessarily distinct points in the plane determine a unique, real
analytic solution to the first order Ginzburg-Landau equations with vortex number N. This …

These lectures cover aspects of solitons with focus on applications to the quantum dynamics
of supersymmetric gauge theories and string theory. The lectures consist of four sections …

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 …

By means of a constrained variational calculation we determine the interaction energy of two-
vortex configurations in the Ginzburg-Landau theory or, equivalently, in the Abelian Higgs …