期刊
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
卷 2014, 期 9, 页码 -出版社
OXFORD UNIV PRESS INC
DOI: 10.1093/ptep/ptu122
关键词
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资金
- JSPS [25287058, 24654057]
- World Premier International Research Center Initiative (WPI Initiative) from the Japan Ministry of Education, Culture, Sports, Science and Technology (MEXT)
- Grants-in-Aid for Scientific Research [25287058, 24654057, 14J01775] Funding Source: KAKEN
In this paper, we study Renyi and von Neumann entanglement entropy of excited states created by local operators in large-N (or large-central-charge) conformal field theories (CFTs). First we point out that a naive large-N expansion can break down for the von Neumann entanglement entropy, while it does not for the Renyi entanglement entropy. This happens even for the excited states in free Yang-Mills theories. Next, we analyze strongly coupled large-N CFTs from both the field-theoretic and holographic viewpoints. We find that the Renyi entanglement entropy of the excited state, produced by a local operator, grows logarithmically under its time evolution and its coefficient is proportional to the conformal dimension of the local operator.
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