= Bosonic coherent-state path integral
{title2=$S=\int_0^\beta d\tau\,[\bar\psi\partial_\tau\psi+K(\bar\psi,\psi)]$}
In a <bosonic coherent-state path integral>, coherent-state resolutions between imaginary-time evolution factors turn a normal-ordered grand <Hamiltonian> $K=H-\mu N$ into its complex symbol. Coherent-state overlaps supply the first-order temporal term. A <thermal trace> makes the fields periodic in imaginary <time>. The <chemical potential> couples to number, and interactions retain their normal-ordering convention.
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