Spinor two-point functions in maximally symmetric spaces
Spinor two-point functions in maximally symmetric spaces
复制标题
最大对称空间中的旋量两点函数
DOI：
10.1007/bf01454972
复制
发表时间：
1986
影响因子：
2.4
通讯作者：
C. Lütken
中科院分区：
文献类型：
--
作者：
B. Allen;C. Lütken
摘要 根据本征几何对象，得到了最大对称四维空间上旋量的两点函数。在无质量情况下，反德西特空间中的Weyl旋量不能满足适用于超对称模型的边界条件。这是因为这些边界条件打破了手性对称性，这可以通过“序参数”来证明
$$\left\langle {\bar \psi \psi } \right\rangle $$
对于无质量的狄拉克旋量是非零的。我们还给出了双旋量的与坐标无关的公式
$$S(x)\bar S(x')$$
Breitenlohner 和 Freedman [1] 提出，并在我们的结果与 Burges、Davis、Freedman 和 Gibbons [2] 的结果之间建立了精确的联系。
AbstractThe two-point function for spinors on maximally symmetric four-dimensional spaces is obtained in terms of intrinsic geometric objects. In the massless case, Weyl spinors in anti de Sitter space can not satisfy boundary conditions appropriate to the supersymmetric models. This is because these boundary conditions break chiral symmetry, which is proven by showing that the “order parameter”
$$\left\langle {\bar \psi \psi } \right\rangle $$
for a massless Dirac spinor is nonzero. We also give a coordinate-independent formula for the bispinor
$$S(x)\bar S(x')$$
introduced by Breitenlohner and Freedman [1], and establish the precise connection between our results and those of Burges, Davis, Freedman and Gibbons [2].