- #1

Urvabara

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The electromagnetic current vanishes identically in the Majorana case: http://users.jyu.fi/~hetahein/tiede/virta.pdf" .

In the case someone cannot open the pdf, here is the formula:

[tex]\overline{\psi}\gamma^{\mu}\psi = \overline{\psi^{C}}\gamma^{\mu}\psi^{C} =

-\psi^{\text{T}}C^{\dagger}\gamma^{\mu}C\overline{\psi}^{\text{T}} \overset{?}{=}

\overline{\psi}C\gamma^{\mu\text{T}}C^{\dagger}\psi = -\overline{\psi}\gamma^{\mu}\psi = 0.[/tex]

Does anyone know how is that equality under the ?-sign proved? I just don't know how...

Thanks!

In the case someone cannot open the pdf, here is the formula:

[tex]\overline{\psi}\gamma^{\mu}\psi = \overline{\psi^{C}}\gamma^{\mu}\psi^{C} =

-\psi^{\text{T}}C^{\dagger}\gamma^{\mu}C\overline{\psi}^{\text{T}} \overset{?}{=}

\overline{\psi}C\gamma^{\mu\text{T}}C^{\dagger}\psi = -\overline{\psi}\gamma^{\mu}\psi = 0.[/tex]

Does anyone know how is that equality under the ?-sign proved? I just don't know how...

Thanks!

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