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Van der Waerden notation : ウィキペディア英語版
Van der Waerden notation
In theoretical physics, van der Waerden notation refers to the usage of two-component spinors (Weyl spinors) in four spacetime dimensions. This is standard in twistor theory and supersymmetry. It is named after Bartel Leendert van der Waerden.
==Dotted indices==

;Undotted indices (chiral indices)
Spinors with lower undotted indices have a left-handed chiralty, and are called chiral indices.
:\Sigma_\mathrm =
\begin
\psi_\\
0
\end

;Dotted indices (anti-chiral indices)
Spinors with raised dotted indices, plus an overbar on the symbol (not index), are right-handed, and called anti-chiral indices.
:\Sigma_\mathrm =
\begin
0 \\
\bar^

Without the indices, i.e. "index free notation", an overbar is retained on right-handed spinor, since ambiguity arises between chiralty when no index is indicated.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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