Steps in an electron's magnetic moment derivation

[kelly0303]

Hello! I am reading Schwarz's book on QFT and in chapter 17 he introduces the anomalous magnetic moment. I am not sure I understand a step in the derivation (from a mathematical point of view), when going from 17.23 to 17.24 (I attached a SS of it). I was able to get certain terms, but I am not sure what to do with term of the form $\not{p}\gamma^\mu\not{p}$ or $\not{q_1}\gamma^\mu\not{p}$. I tried using $p=q_2-q_1$ and them the fact that $\not{q_1}u(q_1)=mu(q_1)$ and $\bar{u}(q_2)\not{q_2}=mu(q_2)$ but there are still gamma matrices I can't get rid of (mainly because they don't commute). Can someone tell me what is he using? Thank you!

 

[nrqed]

Hello! I am reading Schwarz's book on QFT and in chapter 17 he introduces the anomalous magnetic moment. I am not sure I understand a step in the derivation (from a mathematical point of view), when going from 17.23 to 17.24 (I attached a SS of it). I was able to get certain terms, but I am not sure what to do with term of the form $\not{p}\gamma^\mu\not{p}$ or $\not{q_1}\gamma^\mu\not{p}$. I tried using $p=q_2-q_1$ and them the fact that $\not{q_1}u(q_1)=mu(q_1)$ and $\bar{u}(q_2)\not{q_2}=mu(q_2)$ but there are still gamma matrices I can't get rid of (mainly because they don't commute). Can someone tell me what is he using? Thank you!

Have you used that $\{\gamma_\mu, \gamma_\nu \} = 2 \eta_{\mu \nu}$?