Conformal primary basis for Dirac spinors
Conformal primary basis for Dirac spinors
复制标题
狄拉克旋量的共形主要基础
DOI：
10.1103/physrevd.102.106025
复制
发表时间：
2020
影响因子：
5
通讯作者：
W. Mück
中科院分区：
文献类型：
--
作者：
L. Iacobacci;W. Mück
研究了Minkowski空间$\mathbb{R}^{1，d+1}$中Dirac方程在Lorentz群SO（1，d +1）$下变换为d$维共形初级旋量的解.这样的解决方案是参数化的一个点在$\mathbb{R}^d$和共形尺寸$\Delta$。属于主连续级数的波函数集合，$\Delta =\frac{d}2 + i\nu$，在有质量和无质量的情况下分别具有$\nu\geq 0$和$\nu \in \mathbb{R}$，形成狄拉克方程的δ函数归一化解的完整基础。在无质量的情况下，共形初级波函数通过梅林变换与动量空间中的波函数相关联。
We study solutions to the Dirac equation in Minkowski space $\mathbb{R}^{1,d+1}$ that transform as $d$-dimensional conformal primary spinors under the Lorentz group $SO(1,d+1)$. Such solutions are parameterized by a point in $\mathbb{R}^d$ and a conformal dimension $\Delta$. The set of wavefunctions that belong to the principal continuous series, $\Delta =\frac{d}2 + i\nu$, with $\nu\geq 0$ and $\nu \in \mathbb{R}$ in the massive and massless cases, respectively, form a complete basis of delta-function normalizable solutions of the Dirac equation. In the massless case, the conformal primary wavefunctions are related to the wavefunctions in momentum space by a Mellin transform.
影响因子：
5.4
作者：
A. Fotopoulos;S. Stieberger;T. R. Taylor;B. Zhu
通讯作者：
A. Fotopoulos;S. Stieberger;T. R. Taylor;B. Zhu