TOPOLOGICAL DEFECTS IN THE ABELIAN HIGGS MODEL

被引：2

作者：

Czubak, Magdalena ^{[1
]}

Jerrard, Robert L. ^{[2
]}

机构：

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2015年 / 35卷 / 05期

关键词：

Abelian Higgs model; Nambu-Goto action; Nielsen-Olesen vortex line; vortices; timelike minimal surface; cosmic strings; minimizers; MAGNETIC VORTICES; VORTEX DYNAMICS; WAVE-EQUATIONS; FINITE-ENERGY; LANDAU; STRINGS;

D O I：

10.3934/dcds.2015.35.1933

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a rigorous description of the dynamics of the Nielsen-Olesen vortex line. In particular, given a worldsheet of a string, we construct initial data such that the corresponding solution of the abelian Higgs model will concentrate near the evolution of the string. Moreover, the constructed solution stays close to the Nielsen-Olesen vortex solution.

引用

页码：1933 / 1968

页数：36

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