Entanglement entropy in all dimensions

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dc.contributor.authorBraunstein, Samuel L.
dc.contributor.authorDas, Saurya
dc.contributor.authorShankaranarayanan, S.
dc.date.accessioned2015-12-15T22:44:47Z
dc.date.available2015-12-15T22:44:47Z
dc.date.issued2015-12-15
dc.descriptionSherpa Romeo green journal. Open access. Creative Commons Attribution License (CC BY 4.0) applies.en_US
dc.description.abstractIt has long been conjectured that the entropy of quantum fields across boundaries scales as the boundary area. This conjecture has not been easy to test in spacetime dimensions greater than four because of divergences in the von Neumann entropy. Here we show that the R´enyi entropy provides a convergent alternative, yielding a quantitative measure of entanglement between quantum field theoretic degrees of freedom inside and outside hypersurfaces. For the first time, we show that the entanglement entropy in higher dimensions is proportional to the higher dimensional area. We also show that the R´enyi entropy diverges at specific values of the R´enyi parameter q in each dimension, but this divergence can be tamed by introducing a mass to the quantum field.en_US
dc.description.peer-reviewYesen_US
dc.identifier.citationBraunstein, S. L., Das, S., & Shankaranarayanan, S. (2013). Journal of High Energy Physics, 2013, 130. https://doi.org/10.1007/JHEP07(2013)130
dc.identifier.urihttps://hdl.handle.net/10133/3833
dc.language.isoen_CAen_US
dc.publisher.departmentDepartment of Physicsen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Yorken_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.institutionIndian Institute of Science Education and Researchen_US
dc.subjectEntanglementen_US
dc.subjectEntropyen_US
dc.subjectQuantum fielden_US
dc.subjectBlack hole entropyen_US
dc.subjectEntanglement entropyen_US
dc.subjectBlack holes
dc.subjectModels of quantum gravity
dc.titleEntanglement entropy in all dimensionsen_US
dc.typeArticleen_US
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