Question: Prove directly from the definition of (M(Lambda)) and (bar{M}(Lambda)) in Eq. (4.6.14) that (i sigma^{2} bar{chi}^{*}) transforms with (M(Lambda)) and (-i sigma^{2} psi^{*}) transforms with

Prove directly from the definition of \(M(\Lambda)\) and \(\bar{M}(\Lambda)\) in Eq. (4.6.14) that \(i \sigma^{2} \bar{\chi}^{*}\) transforms with \(M(\Lambda)\) and \(-i \sigma^{2} \psi^{*}\) transforms with \(\bar{M}(\Lambda)\) and hence verify that the charge conjugate of the Dirac spinor in the chiral representation in Eq. (4.6.44) transforms as a Dirac spinor.

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