Buch, Englisch, Band 72, 325 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 676 g
Reihe: Progress in Nonlinear Differential Equations and Their Applications
An Analytical Approach
Buch, Englisch, Band 72, 325 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 676 g
Reihe: Progress in Nonlinear Differential Equations and Their Applications
ISBN: 978-0-8176-4310-2
Verlag: Birkhäuser Boston
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Naturwissenschaften Physik Quantenphysik
- Naturwissenschaften Physik Physik Allgemein Experimentalphysik
Weitere Infos & Material
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.
