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Self-Dual Chern-Simons Theories

โœ Scribed by Gerald Dunne

Publisher
Springer
Year
1995
Tongue
English
Leaves
226
Series
Lecture notes in physics. Monographs New series m m36
Edition
1
Category
Library
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โœฆ 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.

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๐Ÿ“ Uniqueness of the topological multivortex solution in the self-dual Chern-Simons theory
โœ Choe K. ๐Ÿ“‚ Library ๐Ÿ“… 2005 ๐ŸŒ English

We establish a uniqueness result for the topological multivortex solution to theself-dual equations of the Abelian relativistic self-dual Chern-Simons-Higgsmodel. We prove that the topological multivortex solution is unique if the Chern-Simons coupling parameter k.0 is sufficiently small. We also es