Two-branch law confirmed on the lattice

Status: numerical — measured, with an error bar and a convergence order; not a theorem.

Area: Lattice, thermal, massive and gapped geometries (O7, O9, O10) · Card type: result · Knowledge-base id: two-branch-law-lattice

Statement

Gaussian rotated Petz maps on the hopping chain (ball arithmetic, up to 72 sites): exponents 1.986, 1.912, 1.635, 1.151 at lambda = 0, 0.5, 1, 1.5 (VWZ: 2.0, 1.9, 1.7, 1.2); lattice/two-branch ratio = 1 - 0.15/L, constant in eta; a single-branch law is off by factors 22-5000. The old apparent exponents 2.04/2.04/1.96/1.31 are withdrawn.

How to verify

numerics/lattice/petz_lattice.out and figures.

Evidence

• numerics/lattice/petz_lattice.py — numerics

Related claims

None recorded.

Review

Review record: passed 2026-09-23 by REF-DEP-CFT-B2.

The referee's report and the card's event log stay in the private knowledge base; only the verdict, the date and the referee are published here.

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