Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages 1-22Publisher
SPRINGER
DOI: 10.1007/JHEP10(2014)060
Keywords
Gauge-gravity correspondence; AdS-CFT Correspondence
Categories
Funding
- FQXi grant Measures of Holographic Information [FQXi-RFP3-1334]
- STFC Consolidated Grant [ST/J000426/1]
- European Research Council under the European Union's Seventh Framework Programme (FP7), ERC Consolidator Grant [ERC-2013-CoG-615443]
- STFC [ST/J000426/1] Funding Source: UKRI
- Science and Technology Facilities Council [ST/J000426/1] Funding Source: researchfish
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We explore entanglement negativity, a measure of the distillable entanglement contained in a quantum state, in relativistic field theories in various dimensions. We first give a general overview of negativity and its properties and then explain a well known result relating (logarithmic) negativity of pure quantum states to the R,nyi entropy (at index 1/2), by exploiting the simple features of entanglement in thermal states. In particular, we show that the negativity of the thermofield double state is given by the free energy difference of the system at temperature T and 2 T respectively. We then use this result to compute the negativity in the vacuum state of conformal field theories in various dimensions, utilizing results that have been derived for free and holographic CFTs in the literature. We also comment upon general lessons to be learnt about negativity in holographic field theories.
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