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Weyl spinor

{c}

In the Weyl representation,
$$
\gamma^\mu=\begin{pmatrix}0&\sigma^\mu\\\bar\sigma^\mu&0\end{pmatrix},
\qquad
\gamma^5=\begin{pmatrix}-I&0\\0&I\end{pmatrix}.
$$
A Dirac spinor therefore splits into left- and right-handed two-component spinors.


Weyl representation of the gamma matrices

Antisymmetry of the four-dimensional charge-conjugation matrix

Dirac-to-Weyl gamma-matrix similarity transform

Left-handed massless plane-wave spinor

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 48 / 1 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 48 / 1 / d / Solution

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Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 301 / 2 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 301 / 2 / f / Solution

Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 301 / 3 / Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 301 / 4 / a / Solution

Weyl representation of the gamma matrices

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Weyl representation of the gamma matrices

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