Global solutions and asymptotic behaviors of the Chern–Simons–Dirac equations in R1+1
Global solutions and asymptotic behaviors of the Chern–Simons–Dirac equations in R1+1
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R1+1 中 Chern-Simons-Dirac 方程的全局解和渐近行为
DOI：
10.1016/j.jmaa.2009.12.055
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发表时间：
2010
影响因子：
1.3
通讯作者：
Hyungjin Huh
中科院分区：
文献类型：
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作者：
Hyungjin Huh
自从Chern-Simons作用量[9]作为一种新的可能规范场理论被引入以来，它已经成功地用于解释一些现象，如分数量子霍尔效应和高温超导。此外，各种场论，其中包括陈-西蒙斯条款被发现承认有趣的经典孤子解。最近发现与Chern-Simons规范场耦合的费米子场论存在涡旋解[7，16]。文[14]研究了Minkowski时空R2+1中Chern-Simons-Dirac方程的初值问题。利用Lohartz估计和零形式估计讨论了低正则性局部时间解。本文主要研究一维Chern-Simons-Dirac系统的整体解及其渐近性质。
Since the introduction of the Chern–Simons action [9] as a new possible gauge field theory, it has been successfully applied to explain several phenomena such as the fractional quantum Hall effect and high temperature superconductivity. Moreover various field theories which include Chern–Simons terms are found to admit interesting classical soliton solutions. Recently it has been found that fermionic field theories coupled with the Chern–Simons gauge field admit vortex solutions [7, 16].The initial value problem of the Chern–Simons–Dirac equations in Minkowski space time R2+1 has been studied in [14]. The low regularity local in time solution was discussed by using Strichartz and null form estimates. In this paper we are interested in global solutions and their asymptotic properties of the Chern–Simons–Dirac system in one space dimension which is proposed as mathematical model equation.