PreprintarXiv licencearXiv
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≥3 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.
Related
- Leading Logarithms in the Effective Theory of Gravity: corrections to the scalar mass
- Observation of multipartite spin entanglement in a cuprate chain
- Multipartite GHZ diagonal states and their entanglement properties
- Eigenvalues of multipartite entanglement witnesses
- Can Multipartite Entanglement Probe Wormhole Moduli Invisible to Bipartite Entanglement?
BibTeX
@misc{ma2026negative,
title = {{Negative Junction Logarithms in Scalar Multipartite Entanglement}},
author = {Chen-Te Ma},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.04220},
eprint = {2611.04220},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.04220},
}
RIS
TY - UNPB
TI - Negative Junction Logarithms in Scalar Multipartite Entanglement
AU - Chen-Te Ma
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.04220
UR - https://arxiv.org/abs/2611.04220
AB - 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≥3 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.
ER -