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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.
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.
This monograph discusses specific examples of selfdual gauge field structures. 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.
Erscheinungsjahr: | 2008 |
---|---|
Fachbereich: | Analysis |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: |
xiv
325 S. |
ISBN-13: | 9780817643102 |
ISBN-10: | 0817643109 |
Sprache: | Englisch |
Herstellernummer: | 10888010 |
Einband: | Gebunden |
Autor: | Tarantello, Gabriella |
Hersteller: | Birkhäuser Boston |
Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
Maße: | 241 x 160 x 23 mm |
Von/Mit: | Gabriella Tarantello |
Erscheinungsdatum: | 01.05.2008 |
Gewicht: | 0,676 kg |
This monograph discusses specific examples of selfdual gauge field structures. 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.
Erscheinungsjahr: | 2008 |
---|---|
Fachbereich: | Analysis |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Buch |
Inhalt: |
xiv
325 S. |
ISBN-13: | 9780817643102 |
ISBN-10: | 0817643109 |
Sprache: | Englisch |
Herstellernummer: | 10888010 |
Einband: | Gebunden |
Autor: | Tarantello, Gabriella |
Hersteller: | Birkhäuser Boston |
Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
Maße: | 241 x 160 x 23 mm |
Von/Mit: | Gabriella Tarantello |
Erscheinungsdatum: | 01.05.2008 |
Gewicht: | 0,676 kg |