| 书目名称 | Selfdual Gauge Field Vortices | | 副标题 | An Analytical Approa | | 编辑 | Gabriella Tarantello | | 视频video | | | 概述 | Provides foundation for gauge theory and selfdual vortices.Advanced chapters treat elliptic problems involving Chern–Simmons models, concentration-compactness principles, and Maxwell–Chern–Simons vort | | 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications | | 图书封面 |  | | 描述 | .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 an | | 出版日期 | Book 2008 | | 关键词 | Gauge theory; Partial differential equations; Quantum Hall effect; Theoretical physics; elliptic equatio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4608-0 | | isbn_ebook | 978-0-8176-4608-0Series ISSN 1421-1750 Series E-ISSN 2374-0280 | | issn_series | 1421-1750 | | copyright | Birkhäuser Boston 2008 |
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发表于 2025-3-21 20:02:51
