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Can anyone explain me what does the statement mean:

"the BRST symmetry is a non-linear symmetry, so the BRST is also a symmetry at the quantum level"?

What does "at the quantum level" mean? In general I have a symmetry in the classical field theory action and then when I quantize the theory I get a Ward-Takahashi Identity. Is this identity the symmetry at the quantum level? I don't think so since it is a consequence of the non-linearity of the symmetry. Can anyone clarify this?

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    $\begingroup$ Statement from which reference? Which page? $\endgroup$
    – Qmechanic ♦
    Commented Feb 14, 2023 at 9:27
  • $\begingroup$ It was in the lecture notes for a class in advanced methods in QFT. No book $\endgroup$
    – nabla_quadro
    Commented Feb 14, 2023 at 9:43

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