Prove that in Eq. (34.1) we may take as independent fermion fields $psi_{mathrm{L}}$ and $psi_{mathrm{L}}^{mathrm{c}}$, instead of

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Prove that in Eq. (34.1) we may take as independent fermion fields $\psi_{\mathrm{L}}$ and $\psi_{\mathrm{L}}^{\mathrm{c}}$, instead of $\psi_{\mathrm{L}}$ and $\psi_{\mathrm{R}}$, because the charge conjugate of a right-handed fermion field is left-handed. 

Data from Eq. 34.1

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