Self-dual gauge field vortices : an analytical approach

335 p.

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主要作者: Gabriella Tarantello.
格式: 圖書
語言:English
出版: Springer 2017
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在線閱讀:http://repository.vnu.edu.vn/handle/VNU_123/29574
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機構: Vietnam National University, Hanoi
語言: English
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spelling oai:112.137.131.14:VNU_123-295742020-06-19T03:24:37Z Self-dual gauge field vortices : an analytical approach Gabriella Tarantello. Mathematics Statistics ; Gauge fields (Physics) ; Differential equations, Nonlinear. 515.355 335 p. In modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as spontaneous symmetry breaking, the quantum Hall effect, charge fractionalization, superconductivity and supergravity. This monograph discusses specific examples of selfdual gauge field structures, including the Chern-Simons model, the abelian-Higgs model, and Yang-Mills gauge field theory.The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern-Simons-Higgs theories (in both abelian and non-abelian settings). Thereafter, the electroweak theory and self-gravitating electroweak strings are examined. The final chapters treat elliptic problems involving Chern-Simmons models, concentration-compactness principles, and Maxwell-Chern-Simons vortices.Many open questions still remain in the field and are examined in this work in connection with Liouville-type equations and systems. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts and thus is ideal for graduate students and researchers interested in partial differential equations and mathematical physics. 2017-04-17T03:29:02Z 2017-04-17T03:29:02Z 2008 Book 9780817646080 http://repository.vnu.edu.vn/handle/VNU_123/29574 en application/pdf Springer
institution Vietnam National University, Hanoi
building VNU Library & Information Center
country Vietnam
collection VNU Digital Repository
language English
topic Mathematics
Statistics ; Gauge fields (Physics) ; Differential equations, Nonlinear.
515.355
spellingShingle Mathematics
Statistics ; Gauge fields (Physics) ; Differential equations, Nonlinear.
515.355
Gabriella Tarantello.
Self-dual gauge field vortices : an analytical approach
description 335 p.
format Book
author Gabriella Tarantello.
author_facet Gabriella Tarantello.
author_sort Gabriella Tarantello.
title Self-dual gauge field vortices : an analytical approach
title_short Self-dual gauge field vortices : an analytical approach
title_full Self-dual gauge field vortices : an analytical approach
title_fullStr Self-dual gauge field vortices : an analytical approach
title_full_unstemmed Self-dual gauge field vortices : an analytical approach
title_sort self-dual gauge field vortices : an analytical approach
publisher Springer
publishDate 2017
url http://repository.vnu.edu.vn/handle/VNU_123/29574
_version_ 1680968599671406592