Solitons in Field Theory and Nonlinear Analysis

2001. Auflage 2001
ISBN: 978-0-387-95242-0
Verlag: Springer

Buch, Englisch, 553 Seiten, Format (B × H): 162 mm x 243 mm, Gewicht: 1098 g

Reihe: Springer Monographs in Mathematics

There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.

Zielgruppe

Graduate

Autoren/Hrsg.

Yang, Yisong

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

1 Primer of Field Theory.- 2 Sigma Models.- 3 Multiple Instantons and Characteristic Classes.- 4 Generalized Abelian Higgs Equations.- 5 Chern—Simons Systems: Abelian Case.- 6 Chern—Simons Systems: Non-Abelian Case.- 7 Electroweak Vortices.- 8 Dyons.- 9 Ordinary Differential Equations.- 10 Strings in Cosmology.- 11 Vortices and Antivortices.- 12 Born—Infeld Solutions.- References.