The negativity core of a 1+1D massless scalar quantum field

• URL: http://arxiv.org/abs/2605.23824v1
• Date: Fri, 22 May 2026 16:25:57 GMT
• Title: The negativity core of a 1+1D massless scalar quantum field
• Abstract summary: We provide a complete characterization of the entanglement between two bounded spacelike regions in a (1+1)-dimensional free massless real scalar field.<n>These results deepen our understanding of quantum fields and suggest extensions to higher dimensions and fermionic fields.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Vacuum entanglement is a fundamental feature of quantum field theory exhibiting rich structure that is not completely understood. Here, we provide a complete characterization of the entanglement between two bounded spacelike-separated regions in a (1+1)-dimensional free massless real scalar field. Employing Gaussian state methods, we analytically compute the logarithmic negativity and construct closed-form solutions for the localized modes carrying it, called negativity cores. These results deepen our understanding of quantum fields and suggest extensions to higher dimensions and fermionic fields.

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