Schwinger-Dyson identities are given a geometric reading in which their violations are controlled by the score-mismatch field δs = ∇ log(Q/P_eq), yielding a bound on Fisher information and a tomographic view of probability distortion.
On the configurational temperature of simple fluids,
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Probing Probability Geometry with Schwinger--Dyson Identities: Score Mismatch, Fisher Information, and Configurational Temperature
Schwinger-Dyson identities are given a geometric reading in which their violations are controlled by the score-mismatch field δs = ∇ log(Q/P_eq), yielding a bound on Fisher information and a tomographic view of probability distortion.