Negative Junction Logarithms in Scalar Multipartite Entanglement

Abstract:A three-region junction in a free real relativistic scalar vacuum in $2+1$ dimensions yields a strictly negative logarithmic contribution to genuine tripartite Rényi multi-entropy for every integer $n\geq3$ and all nondegenerate sector angles. The replica subtraction exactly removes loop classes associated with a single interface. Surviving loops have positive, scale-independent weight, yielding a logarithm whose sign is fixed by the negative Rényi prefactor. The selector is empty at $n=2$. The flat-sheet Friedrichs prescription fixes the scalar operator at the nonmanifold replica apex. It yields a convergent angular spectral formula for the coefficient.

High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)

arXiv:2611.04220 [hep-th]

(or arXiv:2611.04220v1 [hep-th] for this version)

https://doi.org/10.48550/arXiv.2611.04220 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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