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High Energy Physics - Theory

arXiv:1007.0993v1 (hep-th)
[Submitted on 6 Jul 2010 (this version) , latest version 31 Jan 2011 (v2) ]

Title: Some Calculable Contributions to Entanglement Entropy

Title: 一些可计算的纠缠熵贡献

Authors:Mark P. Hertzberg, Frank Wilczek
Abstract: By considering parametric dependence on mass, we extract finite, calculable contributions to the entanglement entropy for a massive scalar field between the interior and exterior of a spatial domain of arbitrary shape. The leading term is proportional to the area of the dividing boundary; we also extract finite subleading contributions for a field defined in the bulk interior of a waveguide in 3+1 dimensions, including terms proportional to the waveguide's cross-sectional geometry; its area, perimeter length, and integrated curvature. We also consider related quantities for massless fields and suggest a class of systems for which these contributions might be measurable.
Abstract: 通过考虑质量的参数依赖性,我们提取了任意形状空间区域内部和外部之间具有质量标量场的纠缠熵的有限、可计算贡献。 主要项与分隔边界的面积成正比;我们还提取了在3+1维波导体内定义的场的有限次主导贡献,包括与波导横截面几何相关的项;其面积、周长长度和积分曲率。 我们还考虑了无质量场的相关量,并建议了一类这些贡献可能可测量的系统。
Comments: 4 pages, 1 figure
Subjects: High Energy Physics - Theory (hep-th) ; Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
Cite as: arXiv:1007.0993 [hep-th]
  (or arXiv:1007.0993v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1007.0993
arXiv-issued DOI via DataCite
Journal reference: MIT-CTP-4110

Submission history

From: Mark Hertzberg [view email]
[v1] Tue, 6 Jul 2010 20:01:01 UTC (79 KB)
[v2] Mon, 31 Jan 2011 21:03:13 UTC (80 KB)
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