Self-Dual Chern-Simons Theories: vM 36 (Lecture Notes in Physics) - Hardcover

Dunne, Gerald

Hardcover

ISBN 10: 3540602577 ISBN 13: 9783540602576

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1995

Synopsis

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 discussed in detail in this book arise in the context of anyonic quantum field theory and have applications to models such as the quantum Hall effect, anyonic superconductivity, and Aharonov-Bohm scattering. There are also interesting connections with the theory of integrable models. The author presents the abelian and non-abelian models for relativistic and non-relativistic realizations of the self-dual Chern-Simons theories and finishes with some applications in quantum physics. The book is written for advanced students and researchers in mathematical, particle, and condensed matter physics.

About this title

From the Back Cover

Self-dual Chern-Simons theories form a new class of self-dual gauge theories and provide a field theoretical formulation of anyonic excitations in planar (i.e., two-space-dimensional) systems. Much of the recent attention of these theories is due to the surprising and novel ways in which they differ from the standard Maxwell, or Yang-Mills, gauge theories. These Chern-Simons theories are particular to planar systems and have therefore received added research impetus from recent experimental and theoretical breakthroughs in actual planar condensed-matter systems, such as the quantum Hall effect. This book gives a pedagogical introduction to the basic properties of the "self-dual" Chern-Simons theories, concluding with an overview of more advanced results and an extensive bibliography. Such models possess Bogomol'nyi energy bounds, topological charges, vortex solutions, and supersymmetric extensions, features which are familiar from other well-known self-dual systems such as instantons, monopoles, and vortices. This book is intended mainly for graduate students having some familiarity with gauge theory, but will also be of interest to researchers in related fields.

Synopsis

Self-duality reduces the mathematical difficulties of a theory but it is also a notion of physical significance. The class of self-dual Chern-Simons theories discussed in this text arise in the context of anyonic quantum field theory and have applications to models such as the quantum Hall effect, anyonic superconductivity, and Aharonov-Bohm scattering. There are also connections with the theory of integrable models

About this edition

• Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
• Publication date: 1995
• ISBN 10: 3540602577
• ISBN 13: 9783540602576
• Binding: Hardcover
• Number of pages: 232