Small Data Global Existence and Decay for Relativistic Chern-Simons Equations

被引：6

作者：

Chae, Myeongju ^{[1
]}

Oh, Sung-Jin ^{[2
]}

机构：

[1] Hankyung Univ, Dept Math, Anseong, Gyeonggi Do, South Korea

[2] Korea Inst Adv Study, Seoul, South Korea

来源：

ANNALES HENRI POINCARE | 2017年 / 18卷 / 06期

关键词：

WELL-POSEDNESS; CAUCHY-PROBLEM; MULTIVORTEX SOLUTIONS; SPACE-TIME; SYSTEM; DIRAC; COMPLETENESS; STABILITY;

D O I：

10.1007/s00023-016-0547-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish a general small data global existence and decay theorem for Chern-Simons theories with a general gauge group, coupled with a massive relativistic field of spin 0 or 1/2. Our result applies to a wide range of relativistic Chern-Simons theories considered in the literature, including the abelian/non-abelian self-dual Chern-Simons-Higgs equation and the Chern-Simons-Dirac equation. A key idea is to develop and employ a gauge invariant vector field method for relativistic Chern-Simons theories, which allows us to avoid the long-range effect of charge.

引用

页码：2123 / 2198

页数：76

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