= BRST current in derivative-b gauge fixing
{c}
{title2=$j_B^\mu=F^{\mu\nu}\cdot D_\nu c+b\cdot D^\mu c+\tfrac12(\partial^\mu\bar c)\cdot[c,c]$}
Use gauge-fixing term $(\partial^\mu b)\cdot A_\mu$, ghost term $-(\partial^\mu\bar c)\cdot D_\mu c$, and the <left-acting BRST differential> with $s\bar c=b$. Localizing the odd parameter on the left yields $\delta S=-\int(\partial_\mu\epsilon)j_B^\mu$. Moving it through the antighost derivative determines the last sign. Changing the overall Noether convention reverses this current; rewriting gauge fixing by integration by parts changes its improvement term. Every summand has <ghost number> one.
Back to article page
