- #1

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## Main Question or Discussion Point

Hey there

I'm trying to reconstruct the entire table of all Dirac bilinears under C, P, T and CPT transformations of page 71 and hit a wall on charge conjugation.

It's a computational problem, really. Here's a specific problem:

Equation 3.145 we have

$$-i\gamma ^2 \left( \psi ^{\dagger }\right) ^T =-i\left( \bar{\psi}\gamma ^0 \gamma ^2 \right) ^T$$

If I understand what is going on, we are taking the transpose of ##\gamma ^2##, which should have changed the sign of the whole expression. This is in Weyl basis. All my calculations following give wrong results but this and this is the first step that shows a problem, so it might be the root. What am I doing wrong?

BTW, I was going to post this in homework/coursework but I feel it doesn't fit the pre-made layout very well.

I'm trying to reconstruct the entire table of all Dirac bilinears under C, P, T and CPT transformations of page 71 and hit a wall on charge conjugation.

It's a computational problem, really. Here's a specific problem:

Equation 3.145 we have

$$-i\gamma ^2 \left( \psi ^{\dagger }\right) ^T =-i\left( \bar{\psi}\gamma ^0 \gamma ^2 \right) ^T$$

If I understand what is going on, we are taking the transpose of ##\gamma ^2##, which should have changed the sign of the whole expression. This is in Weyl basis. All my calculations following give wrong results but this and this is the first step that shows a problem, so it might be the root. What am I doing wrong?

BTW, I was going to post this in homework/coursework but I feel it doesn't fit the pre-made layout very well.