Asymptotic properties of the solutions of linear and nonlinear spin field equations in Minkowski space
Asymptotic properties of the solutions of linear and nonlinear spin field equations in Minkowski space
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闵可夫斯基空间中线性和非线性自旋场方程解的渐近性质
DOI：
10.1007/bf02099131
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发表时间：
1991
影响因子：
2.4
通讯作者：
Wei
中科院分区：
文献类型：
--
作者：
Wei
本文首先利用能量估计和几何不变性，导出了Minkowski空间中线性自旋场方程解的渐近性态。它推广了文[3]中对自旋1和自旋2情形证明的结果。然后将这些技巧应用于Yang-Mills方程，改进了文献[1]中的结果，允许初始数据具有电荷矩、偶极矩和四极矩。本文还讨论了旋量的李导算子及其性质，它们可用来简化文[4]中的一些代数计算。
In this paper I will first derive, based on energy estimations and geometric invariance, the asymptotic behavior of solutions of linear spin field equations in Minkowski space. It generalizes the result in [3] where it was proved for the spin-1 and spin-2 cases. The techniques are then applied to Yang-Mills equations, the result improves the previous one in [1] by allowing the initial data to have charge, dipole and quadrupole moments. The Lie derivative operator for spinors and some properties will be also discussed; they can be used to simplify some algebraic calculations of [4].