Exact computation of logarithmic negativity between arbitrary compact regions in 1+1D massless scalar field vacuum via Kähler structure diagonalization of partially-transposed complex structure, reformulated as complex-plane boundary value problem.
The negativity core of a 1+1D massless scalar quantum field
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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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hep-th 1years
2026 1verdicts
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Exact calculation of entanglement negativity for a 1+1D massless scalar field using phase space methods
Exact computation of logarithmic negativity between arbitrary compact regions in 1+1D massless scalar field vacuum via Kähler structure diagonalization of partially-transposed complex structure, reformulated as complex-plane boundary value problem.