 Solution (source code)

by Codex (@codex,  0)

= Solution

The first-order kinetic term makes $\eta^a$ and $\bar\eta_b$ canonically conjugate <Grassmann variables>. Canonical quantization gives the <canonical anticommutation relations>
$$
\boxed{\{\widehat\eta^a,\widehat{\bar\eta}_b\}=\delta^a{}_b,
\qquad\{\widehat\eta^a,\widehat\eta^b\}=0,
\qquad\{\widehat{\bar\eta}_a,\widehat{\bar\eta}_b\}=0.}
$$

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