Hermitizing matrix
= Hermitizing matrix
{title2=$H\gamma^a=(H\gamma^a)^\dagger$}
A <Hermitizing matrix> for a set of <gamma matrices> is an invertible <Hermitian matrix> $H$ satisfying $\gamma^{a\dagger}=H\gamma^aH^{-1}$. Equivalently, each $H\gamma^a$ is Hermitian. It defines a covariant adjoint $\bar\psi=\psi^\dagger H$. If $\gamma'^a=M\gamma^aM^{-1}$, then $H'=M^{-\dagger}HM^{-1}$ has the same property. In a standard Lorentzian <Dirac basis>, $H=\gamma^0$ is a conventional choice.