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arXiv · 2611.04220

Negative Junction Logarithms in Scalar Multipartite Entanglement

Chen-Te Ma
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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.

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Chen-Te Ma. 2026-11-03. Negative Junction Logarithms in Scalar Multipartite Entanglement. https://arxiv.org/abs/2611.04220

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