期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2016)035
关键词
AdS-CFT Correspondence; Field Theories in Higher Dimensions
资金
- Berkeley Center for Theoretical Physics
- National Science Foundation [1214644, 1316783, 1521446]
- fqxi [RFP3-1323]
- US Department of Energy [DE-AC02-05CH11231]
- Berkeley Connect fellowship
- Division Of Physics
- Direct For Mathematical & Physical Scien [1521446] Funding Source: National Science Foundation
We study the evolution of the universal area law of entanglement entropy when the Hamiltonian of the system undergoes a time dependent perturbation. In particular, we derive a general formula for the time dependent first order correction to the area law under the assumption that the field theory resides in a vacuum state when a small time-dependent perturbation of a relevant coupling constant is turned on. Using this formula, we carry out explicit calculations in free field theories deformed by a time dependent mass, whereas for a generic QFT we show that the time dependent first order correction is governed by the spectral function defining the two-point correlation function of the trace of the energy-momentum tensor. We also carry out holographic calculations based on the HRT proposal and find qualitative and, in certain cases, quantitative agreement with the field theory calculations.
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