English

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

High Energy Physics - Theory 2026-05-25 v1 Quantum Physics

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.

Keywords

Cite

@article{arxiv.2605.23824,
  title  = {The negativity core of a 1+1D massless scalar quantum field},
  author = {Jason Pye and Atharva Hingane and Robert H. Jonsson},
  journal= {arXiv preprint arXiv:2605.23824},
  year   = {2026}
}

Comments

6 pages, 2 figures