- #1
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Consider the matrix ##C = \gamma^{0}\gamma^{2}##.
It is easy to prove the relations
$$C^{2}=1$$
$$C\gamma^{\mu}C = -(\gamma^{\mu})^{T}$$
in the chiral basis of the gamma matrices.1. Do the two identities hold in any arbitrary basis of the gamma matrices?
2. How is ##C## related to the charge conjugation operator?
It is easy to prove the relations
$$C^{2}=1$$
$$C\gamma^{\mu}C = -(\gamma^{\mu})^{T}$$
in the chiral basis of the gamma matrices.1. Do the two identities hold in any arbitrary basis of the gamma matrices?
2. How is ##C## related to the charge conjugation operator?