2014 Fiscal Year Final Research Report
A New Formulation of Quantum Gravity via Quantum Entanglement
| Project/Area Number |
24654057
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Kyoto University |
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Principal Investigator |
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| Research Collaborator |
RYU Shinsei
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | AdS/CFT対応 / 量子エンタングルメント / 超弦理論 / 場の理論 |
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| Outline of Final Research Achievements |
There are two main achievements of the prensent project. One of them is to deepen the conjectured interpretation of AdS/CFT correspondence as the multi-scale entanglement renormalization (MERA). We especially analyzed a continuum limit of MERA (called cMERA) and found that the spacetime metric in the gravity dual of AdS/CFT is related to the information metric in cMERA. Also we formulated cMERA at a finite temperature using the thermofield double construction. Another achievement is that we discovered a basic property which entanglement entropy of an excited state satisfies. We showed that when the excitation is small or equally when the size of subsystem for which we defined the entanglement entropy, is small, the entanglement entropy of the excited state satisfies a law which is very similar to the first law of thermodynamics.
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| Free Research Field |
超弦理論
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