Corrections to holographic entanglement plateau
文献类型：期刊论文
| 作者 | Chen, Bin1,2,3,4; Li, Zhibin5,6,7; Zhang, Jia-ju8,9 |
| 刊名 | Journal of high energy physics
 |
| 出版日期 | 2017-09-28 |
| 期号 | 9页码:33 |
| 关键词 | Ads-cft correspondence Conformal field theory Field theories in lower dimensions |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/jhep09(2017)151 |
| 通讯作者 | Chen, bin(bchen01@pku.edu.cn) |
| 英文摘要 | We investigate the robustness of the araki-lieb inequality in a two-dimensional (2d) conformal field theory (cft) on torus. the inequality requires that delta s = s (l) - vertical bar s (l - l) - s (l)vertical bar is nonnegative, where s (l) is the thermal entropy and s (l - l), s (l) are the entanglement entropies. holographically there is an entanglement plateau in the btz black hole background, which means that there exists a critical length such that when l <= l(c) the inequality saturates delta s = 0. in thermal ads background, the holographic entanglement entropy leads to delta s - 0 for arbitrary l. we compute the next-to-leading order contributions to delta s in the large central charge cft at both high and low temperatures. in both cases we show that delta s is strictly positive except for l = 0 or l = l. this turns out to be true for any 2d cft. in calculating the single interval entanglement entropy in a thermal state, we develop new techniques to simplify the computation. at a high temperature, we ignore the finite size correction such that the problem is related to the entanglement entropy of double intervals on a complex plane. as a result, we show that the leading contribution from a primary module takes a universal form. at a low temperature, we show that the leading thermal correction to the entanglement entropy from a primary module does not take a universal form, depending on the details of the theory. |
| WOS关键词 | FIELD-THEORIES ; STRING THEORY ; GRAVITY |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Particles & Fields |
| 语种 | 英语 |
| WOS记录号 | WOS:000412098100008 |
| 出版者 | SPRINGER |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2177085 |
| 专题 | 高能物理研究所 |
| 通讯作者 | Chen, Bin |
| 作者单位 | 1.Peking Univ, Dept Phys, 5 Yiheyuan Rd, Beijing 100871, Peoples R China 2.Peking Univ, State Key Lab Nucl Phys & Technol, 5 Yiheyuan Rd, Beijing 100871, Peoples R China 3.Collaborat Innovat Ctr Quantum Matter, 5 Yiheyuan Rd, Beijing 100871, Peoples R China 4.Peking Univ, Ctr High Energy Phys, 5 Yiheyuan Rd, Beijing 100871, Peoples R China 5.Chinese Acad Sci, Inst High Energy Phys, Theoret Phys Div, 19B Yuquan Rd, Beijing 100049, Peoples R China 6.Chinese Acad Sci, Theoret Phys Ctr Sci Facil, 19B Yuquan Rd, Beijing 100049, Peoples R China 7.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100039, Peoples R China 8.Univ Milano Bicocca, Dipartimento Fis, Piazza Sci 3, I-20126 Milan, Italy 9.Ist Nazl Fis Nucl, Sez Milano Bicocca, Piazza Sci 3, I-20126 Milan, Italy |
| 推荐引用方式 GB/T 7714 | Chen, Bin,Li, Zhibin,Zhang, Jia-ju. Corrections to holographic entanglement plateau[J]. Journal of high energy physics,2017(9):33. |
| APA | Chen, Bin,Li, Zhibin,&Zhang, Jia-ju.(2017).Corrections to holographic entanglement plateau.Journal of high energy physics(9),33. |
| MLA | Chen, Bin,et al."Corrections to holographic entanglement plateau".Journal of high energy physics .9(2017):33. |
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来源：高能物理研究所
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