Derivative-antighost gauge-fixing fermion
= Derivative-antighost gauge-fixing fermion
{title2=$\Psi=\int(\partial^\mu\bar c_aA_{\mu a}+\xi\bar c_ab_a/2)$}
For the convention $s\bar c=-b$, the <action> $S_{\mathrm{YM}}-s\Psi$ contains $-b\,\partial\cdot A+\xi b^2/2-\bar c\,\partial\cdot Dc$ after <integration by parts>. Integrating the <Nakanishi-Lautrup field> gives $-(\partial\cdot A)^2/(2\xi)$. The <Grassmann Gaussian integral> represents the <Faddeev-Popov determinant>.