Constraining nonrelativistic RG flows with holography

doi:10.1103/PhysRevD.103.046006

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	Constraining nonrelativistic RG flows with holography
	Cremonini, Sera ; Li, Li 1,2,3; Ritchie, Kyle 4; Tang, Yuezhang
刊名	PHYSICAL REVIEW D
	2021
卷号	103 期号:4 页码:46006
ISSN号	2470-0010
DOI	10.1103/PhysRevD.103.046006
英文摘要	We examine nonrelativistic holographic renormalization group (RG) flows by working with Einstein-Maxwell-scalar theories which support geometries that break Lorentz invariance at some energy scale. We adopt the superpotential formalism, which helps us characterize the radial flow in this setup and bring to light a number of generic features. In particular, we identify several quantities that behave monotonically under RG flow. As an example, we show that the index of refraction is generically monotonic. We also construct a combination of the superpotentials that flows monotonically in Einstein-scalar theories supporting nonrelativistic solutions and which reduces to the known c-function in the relativistic limit. Interestingly, such quantity also exhibits monotonicity in a variety of black hole solutions to the full Einstein-Maxwell-scalar theory, hinting at a deeper structure. Finally, we comment on the breakdown of such monotonicity conditions and on the relation to a candidate c-function obtained previously from entanglement entropy.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27295]
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.Lehigh Univ, Dept Phys, Bethlehem, PA 18018 USA 2.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, POB 2735, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 4.UCAS, Sch Fundamental Phys & Math Sci, Hangzhou Inst Adv Study, Hangzhou 310024, Peoples R China 5.Univ New Mexico, Dept Phys & Astron, Albuquerque, NM 87131 USA
推荐引用方式 GB/T 7714	Cremonini, Sera,Li, Li,Ritchie, Kyle,et al. Constraining nonrelativistic RG flows with holography[J]. PHYSICAL REVIEW D,2021,103(4):46006.
APA	Cremonini, Sera,Li, Li,Ritchie, Kyle,&Tang, Yuezhang.(2021).Constraining nonrelativistic RG flows with holography.PHYSICAL REVIEW D,103(4),46006.
MLA	Cremonini, Sera,et al."Constraining nonrelativistic RG flows with holography".PHYSICAL REVIEW D 103.4(2021):46006.