Show simple item record Braunstein, Samuel L. Das, Saurya Shankaranarayanan, S. 2015-12-15T22:44:47Z 2015-12-15T22:44:47Z 2015-12-15
dc.identifier.citation Braunstein, S. L., Das, S., & Shankaranarayanan, S. (2013). Journal of High Energy Physics, 2013, 130.
dc.description Sherpa Romeo green journal. Open access. Creative Commons Attribution License (CC BY 4.0) applies. en_US
dc.description.abstract It 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.language.iso en_CA en_US
dc.subject Entanglement en_US
dc.subject Entropy en_US
dc.subject Quantum field en_US
dc.subject Black hole entropy en_US
dc.subject Entanglement entropy en_US
dc.subject Black holes
dc.subject Models of quantum gravity
dc.title Entanglement entropy in all dimensions en_US
dc.type Article en_US
dc.publisher.faculty Arts and Science en_US
dc.publisher.department Department of Physics en_US
dc.description.peer-review Yes en_US
dc.publisher.institution University of York en_US
dc.publisher.institution University of Lethbridge en_US
dc.publisher.institution Indian Institute of Science Education and Research en_US

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