Srednicki 34.15 - Notation Question

[shehry1]

Homework Statement

Is the index notation in Srednicki's 34.16 correct given what he does in 35.29.

Essentially, in going from 34.15 to 34.16, when taking the hermitian conjugate, he does not remove the dots. In going from 35.27 to 35.29, he has done so (the dot on 'a' has moved over onto the 'c').

Also, am I correct in assuming that the '*' does not mean 'Conjugation' but 'Hermitian Conjugation over the Spinor Indices'. Either way, there are some other question marks hovering in my head.


Thanks in Advance

 

[NateD]

Homework Equations 34.15: <a_i*^a> = (1/2) \int d^4x \, \epsilon^{abcd} \psi_b \overline{\chi}_c \partial_d a_i34.16: <a_i*^a> = (1/2) \int d^4x \, \epsilon^{abcd} \psi_b \overline{\chi}_c \partial_d*a_i*35.27: <a_i*^a> = (1/2) \int d^4x \, \epsilon^{abcd} \psi_b \overline{\chi}_c \partial_da_i*^a35.29: <a_i*^a> = (1/2) \int d^4x \, \epsilon^{abcd} \psi_b \overline{\chi}_c* \partial_da_i^aThe Attempt at a Solution I think that the index notation in 34.16 is incorrect. In 35.29, he has removed the dot from the 'c' index, indicating that it is the spinor index and should not be conjugated. Therefore, 34.16 should look like 35.29, i.e., 34.16: <a_i*^a> = (1/2) \int d^4x \, \epsilon^{abcd} \psi_b \overline{\chi}_c* \partial_da_i*I am also assuming that the '*' does not mean 'Conjugation' but 'Hermitian Conjugation over the Spinor Indices', as this would make more sense.