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Titlebook: Self-Dual Chern-Simons Theories; Gerald Dunne Book 1995 Springer-Verlag Berlin Heidelberg 1995 Quantum Hall effect.condensed matter.conden

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书目名称Self-Dual Chern-Simons Theories
编辑Gerald Dunne
视频video
丛书名称Lecture Notes in Physics Monographs
图书封面Titlebook: Self-Dual Chern-Simons Theories;  Gerald Dunne Book 1995 Springer-Verlag Berlin Heidelberg 1995 Quantum Hall effect.condensed matter.conden
描述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.
出版日期Book 1995
关键词Quantum Hall effect; condensed matter; condensed matter physics; quantum field; quantum field theory; qua
版次1
doihttps://doi.org/10.1007/978-3-540-44777-1
isbn_softcover978-3-662-14044-4
isbn_ebook978-3-540-44777-1Series ISSN 0940-7677
issn_series 0940-7677
copyrightSpringer-Verlag Berlin Heidelberg 1995
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发表于 2025-3-21 22:33:34 | 显示全部楼层
Introduction,ories in which the interactions have particular forms and special strengths such that the second order equations of motion (in general, a set of coupled nonlinear partial differential equations) reduce to first order equations which are simpler to analyze. The “self-dual point”, at which the interac
发表于 2025-3-22 04:09:00 | 显示全部楼层
Abelian Nonrelativistic Model,nyons — point particles in the plane with fractional statistics. In this Chapter we concentrate on the symmetry and self-dual structure of the classical field theory, deferring discussion of quantum aspects to Chapter 6. This 2 + 1 dimensional theory has a Bogomol’nyi style lower bound for the energ
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Nonabelian Nonrelativistic Model,lian generalization is of interest for the understanding of nonabelian fractional statistics, a rich subject with potential applications in various quantum Hall systems [257,31]. As in the abelian models, there is a Bogomol’nyi lower bound for the energy which is saturated by static zero energy conf
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Abelian Relativistic Model,dynamics [113,127]. It is a unique feature of these Chern-Simons theories that it is still possible to find a factorization of the equations of motion into first-order self-duality equations. The energy is bounded below, with the bound saturated by solutions to the self-duality equations, provided t
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Quantum Aspects,have concentrated on classical aspects, although particular emphasis has been given to that classical data (such as static solutions, and vacuum spectra) which is usually of the greatest significance for quantization [122,211]. In 1 + 1 dimensional field theories, the equivalence between direct quan
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0940-7677 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.978-3-662-14044-4978-3-540-44777-1Series ISSN 0940-7677
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