TFPT scientific source excerpt Original repository path: documents/archive--tfpt-45--source_extracts--04_qft_source/sections/002-section-closure-theorems-from-the-admissibility-complex.tex Original file SHA-256: 61ecee7727bdec47936bbffc028d3dbac5260a025b6dbcce30124a60d635fc9c Inclusive original lines: 256-265 Line numbers below refer to the original source. This bounded excerpt is source evidence; it is not a new proof/checker run. Conversation metadata and personal execution details are omitted where indicated. 000256 | \begin{definition}[Relative generating functional] 000257 | \label{def:relative-generating-functional} 000258 | The relative Euclidean generating functional is normalized as 000259 | \[ 000260 | Z_{\mathrm{rel}}[J,\eta,\bar\eta] 000261 | := 000262 | \frac{Z_{\mathrm{adm}}[J,\eta,\bar\eta]}{Z_{\mathrm{ref}}[0,0,0]}. 000263 | \] 000264 | The reference sector is therefore a fixed normalizing denominator rather than a second fluctuating measure that would mix with admissible positivity. 000265 | \end{definition}