Titlebook: Solitons in Field Theory and Nonlinear Analysis; Yisong Yang Textbook 2001 Springer Science+Business Media New York 2001 Field Theory.Gaug

Stress-Fracture

Generalized Abelian Higgs Equations, full plane. In §4.3–§4.5, we establish the existence part of our results stated in §4.1 and §4.2. In §4.6 we establish the nonexistence results stated in §4.2. In §4.7 we extend our study to the situation when the coefficient matrix of the nonlinear elliptic system is arbitrary.

Abominate

,Chern—Simons Systems: Non-Abelian Case,nto a nonlinear elliptic system and formulate a variational principle. In §6.5 we present an analysis of the elliptic system and prove all the results stated. In §6.6 we apply our existence theory to some concrete examples.

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HATCH

,Chern—Simons Systems: Abelian Case,atic analysis of the problem and prove the existence theorem stated in §5.2. In §5.4 we obtain all possible symmetric non-topological solutions. In §5.5 and §5.6 we construct spatially periodic solutions modelling a condensed lattice structure.

calamity

Dyons,ove the existence of dyons in two important non-Abelian gauge field theory models for which the governing equations are nonlinear and the action functionals are indefinite: in §8.3 we present the Julia—Zee dyons and in §8.4–§8.6 we obtain dyons in the Weinberg—Salam electroweak theory.

dilute

MEAN

含糊其辞

Primer of Field Theory,in the rest of the book. We shall begin in §1.1 with a discussion of classical mechanics in view of a variational formulation and then consider the Schrödinger equation in quantum mechanics. In §1.2 we present special relativity and relativistic wave equations. In particular, we derive the Maxwell e

火光在摇曳

Sigma Models,lish a precise description of the static solutions in various topological classes. In §2.1 we review the Belavin—Polyakov solution of the classical sigma model. In §2.2 we describe the gauged sigma model and state our existence theorems. In §2.3 we reduce the problem into a semilinear elliptic equat

斜坡

Multiple Instantons and Characteristic Classes,an important parallel in the Yang—Mills theory: each second Chern—Pontryagin class on .. can be represented by a family of self-dual instantons. The purpose of this chapter is to establish the general theorem that, for each . = 1, 2,..., a similarly defined 2.-th cohomology class on .. generalizing