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votes
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answers
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Two definitions of vectors and general spinor transformations
The usual definition of a vector is that its components transform contravariantly under the change of coordinate chart on the underlying manifold -- it is an element of the tangent bundle of the (let'...
- 97
2
votes
2
answers
1k
views
Charge conjugation of fields
This page on Wikipedia says, "In the language of quantum field theory, charge conjugation transforms as -
$\psi \Rightarrow -i\big(\bar{\psi} \gamma ^0 \gamma ^2 \big)^T $
$\bar{\psi} \...
- 435
3
votes
1
answer
2k
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Hermitian Adjoint of Spinor
Say we have a four component spinor $\psi$:
$$
\psi=\begin{pmatrix}\psi_L\\\psi_R\end{pmatrix}
$$
Is the Hermitian adjoint of this:
$$
\psi^\dagger =\begin{pmatrix}\psi_L^\dagger \psi_R^\dagger\end{...
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