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Selfdual Gauge Field Vortices
An Analytical Approach
Buch von Gabriella Tarantello
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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.

Inhaltsverzeichnis
Selfdual Gauge Field Theories.- Elliptic Problems in the Study of Selfdual Vortex Configurations.- Planar Selfdual 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.
Details
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
Artikel-ID: 102145063
Zusammenfassung

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.

Inhaltsverzeichnis
Selfdual Gauge Field Theories.- Elliptic Problems in the Study of Selfdual Vortex Configurations.- Planar Selfdual 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.
Details
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
Artikel-ID: 102145063
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