TFPT scientific source excerpt
Original repository path: experiments/theory-contracts/tfpt-unified-source-derivation-20261029/aps_source_review/HIGGS-MIXTURE-WICK-PROOF.txt
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Inclusive original lines: 15-25
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000015 | 
000016 | Hypothesis on the H integration: it actually represents a positive
000017 | normalized mixture of these CONDITIONAL quasifree states. Write
000018 |   omega(X)=int omega_H(X) dmu(H), dmu>=0, int dmu=1.
000019 | For an unnormalized original fiber, mu must include its actual Z_F(H),
000020 | bosonic weight, reference, eta and every other factor before normalization
000021 | by Z[0]. Positivity concerns the complete weight, not each named factor.
000022 | This is a hypothesis to verify at the original source, not a chosen measure.
000023 | Quadratic dependence on FERMIONS gives conditional quasifreeness;
000024 | nonlinear H dependence alone does not destroy it. Additional fermion
000025 | vertices can destroy it and require the actual conditional four-point term.