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Titlebook: Solitons in Field Theory and Nonlinear Analysis; Yisong Yang Textbook 2001 Springer Science+Business Media New York 2001 Field Theory.Gaug

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发表于 2025-3-21 19:38:05 | 显示全部楼层 |阅读模式
书目名称Solitons in Field Theory and Nonlinear Analysis
编辑Yisong Yang
视频videohttp://file.papertrans.cn/872/871684/871684.mp4
丛书名称Springer Monographs in Mathematics
图书封面Titlebook: Solitons in Field Theory and Nonlinear Analysis;  Yisong Yang Textbook 2001 Springer Science+Business Media New York 2001 Field Theory.Gaug
出版日期Textbook 2001
关键词Field Theory; Gauge theory; Maxwell‘s equations; Nonlinear Analysis; Solitons; calculus; differential equa
版次1
doihttps://doi.org/10.1007/978-1-4757-6548-9
isbn_softcover978-1-4419-2919-8
isbn_ebook978-1-4757-6548-9Series ISSN 1439-7382 Series E-ISSN 2196-9922
issn_series 1439-7382
copyrightSpringer Science+Business Media New York 2001
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1439-7382 Overview: 978-1-4419-2919-8978-1-4757-6548-9Series ISSN 1439-7382 Series E-ISSN 2196-9922
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https://doi.org/10.1007/978-1-4757-6548-9Field Theory; Gauge theory; Maxwell‘s equations; Nonlinear Analysis; Solitons; calculus; differential equa
发表于 2025-3-22 14:18:27 | 显示全部楼层
Primer of Field Theory,nd related concepts such as symmetry-breaking and the Higgs mechanism. In §1.5 we discuss in general the non-Abelian gauge field theory. In §1.6 we establish Einstein’s equations of gravitation and discuss some simplest consequences in cosmology.
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Vortices and Antivortices,of a solution possessing . vortices (strings) and . antivortices (antistrings) and observe the roles played by these two different types of vortices (strings), energetically. In §11.5, we consider the problem over a closed Riemann surface.
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Sigma Models,gma model. In §2.2 we describe the gauged sigma model and state our existence theorems. In §2.3 we reduce the problem into a semilinear elliptic equation. In §2.4 we present a complete mathematical analysis and prove all the results stated.
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Multiple Instantons and Characteristic Classes,e solve the Liouville equation. In §3.3 we present the explicit solutions of Witten in 4 dimensions based in the solution of the Liouville equation. In §3.4 we discuss the problem in all 4m dimensions and state our general representation theorem. In §3.5–§3.7 we prove the theorem.
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