Selfdual gauge field vortices : an analytical approach
著者
書誌事項
Selfdual gauge field vortices : an analytical approach
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 72）
Birkhäuser, c2008
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注記
Includes bibliographical references (p. [305]-321) and index
内容説明・目次
内容説明
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.
目次
Preface.- Selfdual Gauge Field Theories.- Elliptic Problems in the Study of Self-ual Vortex Configurations.- Planar Self-dual Chern-Simons Vortices.- Periodic Selfdual Chern-Simons Vortices.- The Analysis of Liouville-type Equations with Singular Sources.- Mean Field Equations of Liouville-type.- Selfdual Electroweak Vortices and Strings.- References.- Index.
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