Manuscript X-L-ST@1 · X-L-ST.tex · section · 20a32a22

Gauge fermion and free nilpotence

The normalized free auxiliary–ghost package › Gauge fermion and free nilpotence · lines 454–466

X-L-ST@1#eq:freeaction

The free gauge-fixed action is therefore represented by

S_{0, gf} = \frac{1}{2} ⟨ r, A r ⟩ - \frac{1}{2} ⟨ ϕ, P_{m} ϕ ⟩ + s_{0} Ψ_{0} .

Its relative free BRST variation vanishes: the variation of $b C r$ cancels that of $- c ˉ □ c$ , and $A K = 0$ .

Displayed formulas in this passage

X-L-ST@1#eq:freeaction · line 457
$S_{0, gf} = \frac{1}{2} ⟨ r, A r ⟩ - \frac{1}{2} ⟨ ϕ, P_{m} ϕ ⟩ + s_{0} Ψ_{0} .$