Complexity-action of subregions with corners
Caceres, E; Xiao, ML
刊名JOURNAL OF HIGH ENERGY PHYSICS
2019
期号3页码:62
关键词ENTANGLEMENT ENTROPY
ISSN号1029-8479
DOI10.1007/JHEP03(2019)062
英文摘要In the past, the study of the divergence structure of the holographic entanglement entropy on singular boundary regions uncovered cut-off independent coefficients. These coefficients were shown to be universal and to encode important field theory data. Inspired by these lessons we study the UV divergences of subregion complexity-action (CA) in a region with corner (kink). We develop a systematic approach to study all the divergence structures, and we emphasize that the counter term that restores reparameterization invariance on the null boundaries plays a crucial role in simplifying the results and rendering them more transparent. We find that a general form of subregion CA contains a part dependent on the null generator normalizations and a part that is independent of them. The former includes a volume contribution as well as an area contribution. We comment on the origin of the area term as entanglement entropy, and point out that its presence constitutes a robust difference between the two prescriptions to calculate subregion complexity (-action vs. -volume). We also find universal log divergence associated with the kink feature of the subregion. Similar flat angle limit as the subregion-CV result is obtained.
学科主题Physics
语种英语
内容类型期刊论文
源URL[http://ir.itp.ac.cn/handle/311006/23466]  
专题理论物理研究所_理论物理所1978-2010年知识产出
作者单位1.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
2.Univ Texas Austin, Theory Grp, Dept Phys, Austin, TX 78712 USA
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Caceres, E,Xiao, ML. Complexity-action of subregions with corners[J]. JOURNAL OF HIGH ENERGY PHYSICS,2019(3):62.
APA Caceres, E,&Xiao, ML.(2019).Complexity-action of subregions with corners.JOURNAL OF HIGH ENERGY PHYSICS(3),62.
MLA Caceres, E,et al."Complexity-action of subregions with corners".JOURNAL OF HIGH ENERGY PHYSICS .3(2019):62.
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