In my problem, I use the following set of $\gamma$-matrices (in (2+1) spacetime): $$\gamma^0=\sigma^1;\quad \gamma^{1}=i\sigma^2;\quad \gamma^{2}=i\sigma^{3},$$ where $\sigma^{(i)}$ are usual Pauli matrices. I would like to understand how can I construct charge conjugation matrix for given set of $\gamma$-matrices.

To be more concrete, I would like to understand how can I epxress positive mode solution $\psi^{(+)}(p)$ of Dirac equation with $\psi^{(-)}(p)$.

  • $\begingroup$ I seem to remember this is well covered in Prof Zee's Group Nut. $\endgroup$ – Oбжорoв Apr 18 at 11:57
  • $\begingroup$ Я по всей книжке посмотрел -- как-то не особо нашел $\endgroup$ – Artem Alexandrov Apr 18 at 15:33
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    $\begingroup$ Please keep in mind that we expect posts and comments on this site to be in English, even if you think that the specific user at which you directed a comment also understands another language you speak. $\endgroup$ – ACuriousMind Apr 19 at 8:44
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    $\begingroup$ I had look at Zee's Group Theory in a Nutshell chapter VII.5. Well covered is maybe not the right word, but isn't there enough information there to help you along. $\endgroup$ – Oбжорoв Apr 19 at 9:49
  • $\begingroup$ @Oбжоров thank You som much, it was perfect ref. $\endgroup$ – Artem Alexandrov Apr 23 at 13:38

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