Chiral projector
= Chiral projector
{title2=$P_{L,R}=(1\mp\gamma^5)/2$}
The projectors $P_L=(1-\gamma^5)/2$ and $P_R=(1+\gamma^5)/2$ select the two <chirality> eigenspaces of a <Dirac field>. They satisfy $P_L+P_R=I$, $P_LP_R=0$, and $P_L^2=P_L$, $P_R^2=P_R$.