Solitons in Field Theory and Nonlinear Analysis

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.

Contenu

Preface Primer of Field Theory Sigma Models Multiple Instantons and Characteristic Classes Generalized Abelian Higgs Equations Chern-Simons Systems: Abelian Case Chern-Simons Systems: Non-Abelian Case Electroweak Vortices Dyons Ordinary Differential Equations Strings in Cosmology Vortices and Antivortices Born-Infeld Solutions References Bibliography * Index