It is well known that at times we do need explicit representations for the Dirac gamma matrices while doing calculations with fermions. Recently I found two different expressions for Majorana representation for the gamma matrices. In one paper, the form used is:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\gamma_{0} = \left(

\begin{array}{cc}

0 & i\sigma_2\\

i\sigma_2 & 0

\end{array}

\right)

[/tex]

[tex]

\gamma_{1} = \left(

\begin{array}{cc}

\sigma_1 & 0\\

0 & \sigma_1

\end{array}

\right)

[/tex]

[tex]

\gamma_{2} = \left(

\begin{array}{cc}

0 & -i\sigma_2\\

i\sigma_2 & 0

\end{array}

\right)

[/tex]

[tex]

\gamma_{3} = \left(

\begin{array}{cc}

\sigma_3 & 0\\

0 & \sigma_3

\end{array}

\right)

[/tex]

[tex]

\gamma_{5} = \left(

\begin{array}{cc}

\sigma_2 & 0\\

0 & \sigma_2

\end{array}

\right)

[/tex]

However in wikipedia article on gamma matrices, the Majorana representations are diffenrent and all are complex matrices. See: http://en.wikipedia.org/wiki/Dirac_matrices#Majorana_basis

I am confused which is the actual representation of Majorana representation? Or are both representations valid Majorana representations? Note that in the rep. I wrote, the first four matrices are real matrices.

Also can anybody tell me how to write several matrices side-by-side in latex?

Thanks.

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# Majorana representation of Gamma matrices.

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