# Problem with anticommutation of spinors

1. Jun 30, 2010

### ansgar

In e.g. Burgess and Moore - standard model a primer

it is stated that for two spinors (majorana)

$$\bar{\psi_1}\psi_2 = (\bar{\psi_1}\psi_2)^T = - \psi_2^T \bar{\psi_1}^T$$

since the spinors are anticommuting objects, thus ordering reversion gives -1

but they also state that

$$(\psi_1^\dagger\psi_2 )^* = (\psi_1^\dagger \psi_2)^\dagger = \psi_2^\dagger \psi_1$$

i.e. "without a minus sign" (explicity written in text)

I am SOOO confused, how how how can this be consistent??

best regards

37 views so far, come on I know that you can help me :)

Last edited: Jun 30, 2010