Classical Field Configurations

The following sections are included:

• Introductory Remarks

• The Constant Classical Field

• Soliton Theories in One Spatial Dimension

• Stability of Classical Configurations

• Bogomol'nyi Equations and Bounds

• The Small Fluctuation Equation

• Existence of Finite-Energy Solutions

• Ginzburg–Landau Vortices

• Introduction to Homotopy Classes

• The Fundamental Homotopy Group