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Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 304 / 4 / c / i

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2025 iii Paper 304 4 c
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i
For the Grassmann-odd ghost c, the BRST transformations are
QAμ​=Dμ​c=∂μ​c−ig[Aμ​,c],Qϕ=ig[c,ϕ],Qc=igc2,
(1)
up to a simultaneous convention-dependent sign for Q and c. The ghost transformation makes the BRST charge nilpotent: Q2Aμ​=Q2ϕ=0.

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