TFPT scientific source excerpt Original repository path: documents/archive--tfpt-45--source_extracts--04_qft_source/sections/008-section-relative-reflection-positivity-with-fermions.tex Original file SHA-256: 898aa879cf6a3eb6464d3180274bc2fc028408aeec9676af70a862dad9c3f4dc Inclusive original lines: 143-151 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. 000143 | \subsection{Normalized quotient form} 000144 | 000145 | The relative Euclidean theory used in the main closure section is not interpreted as a difference of measures. Instead it is organized as the normalized quotient 000146 | \[ 000147 | Z_{\mathrm{rel}}[J,\eta,\bar\eta] 000148 | = 000149 | \frac{Z_{\mathrm{adm}}[J,\eta,\bar\eta]}{Z_{\mathrm{ref}}[0,0,0]}. 000150 | \] 000151 | Because the denominator is source independent on the admissible sector, the reference theory acts only as a fixed normalizer and does not interfere with reflection positivity.