Entropy for gravitational Chern-Simons terms by squashed cone method
文献类型：期刊论文
| 作者 | Guo, WZ; Miao, RX; Guo, WZ (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Zhong Guan Cun East St 55,POB 2735, Beijing 100190, Peoples R China.; Guo, WZ (reprint author), Kyoto Univ, YITP, Sakyo Ku, Kyoto 6068502, Japan.; Miao, RX (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany. |
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2016 |
| 期号 | 4页码:6 |
| 关键词 | Ads-cft Correspondence Classical Theories Of Gravity |
| DOI | http://dx.doi.org/10.1007/JHEP04(2016)006 |
| 英文摘要 | In this paper we investigate the entropy of gravitational Chern-Simons terms for the horizon with non-vanishing extrinsic curvatures, or the holographic entanglement entropy for arbitrary entangling surface. In 3D there is no anomaly of entropy. But the original squashed cone method can not be used directly to get the correct result. For higher dimensions the anomaly of entropy would appear, still, we can not use the squashed cone method directly. That is becasuse the Chern-Simons action is not gauge invariant. To get a reasonable result we suggest two methods. One is by adding a boundary term to recover the gauge invariance. This boundary term can be derived from the variation of the Chern-Simons action. The other one is by using the Chern-Simons relation d Omega(4n-1) = tr(R-2n). We notice that the entropy of tr(R-2n) is a total derivative locally, i.e. S = ds(CS). We propose to identify s(CS) with the entropy of gravitational Chern-Simons terms Omega(4n-1). In the first method we could get the correct result for Wald entropy in arbitrary dimension. In the second approach, in addition to Wald entropy, we can also obtain the anomaly of entropy with non-zero extrinsic curvatures. Our results imply that the entropy of a topological invariant, such as the Pontryagin term tr(R-2n) and the Euler density, is a topological invariant on the entangling surface. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/21713]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Guo, WZ (reprint author), Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Zhong Guan Cun East St 55,POB 2735, Beijing 100190, Peoples R China.; Guo, WZ (reprint author), Kyoto Univ, YITP, Sakyo Ku, Kyoto 6068502, Japan.; Miao, RX (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany. |
| 推荐引用方式 GB/T 7714 | Guo, WZ,Miao, RX,Guo, WZ ,et al. Entropy for gravitational Chern-Simons terms by squashed cone method[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(4):6. |
| APA | Guo, WZ,Miao, RX,Guo, WZ ,Guo, WZ ,&Miao, RX .(2016).Entropy for gravitational Chern-Simons terms by squashed cone method.JOURNAL OF HIGH ENERGY PHYSICS(4),6. |
| MLA | Guo, WZ,et al."Entropy for gravitational Chern-Simons terms by squashed cone method".JOURNAL OF HIGH ENERGY PHYSICS .4(2016):6. |
入库方式： OAI收割
来源：理论物理研究所
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