Holographic RG flows on curved manifolds and quantum phase transitions

被引：32

作者：

Ghosh, J. K. ^{[1
]}

Kiritsis, E. ^{[1
,2
]}

Nitti, F. ^{[1
]}

Witkowski, L. T. ^{[1
]}

机构：

[1] Univ Paris Diderot, AstroParticule & Cosmol, Observ Paris, APC,CNRS,IN2P3,CEA,IRFU,Sorbonne Paris Cite, 10 Rue Alice Domon & Leonie Duquet, F-75205 Paris 13, France

[2] Univ Crete, Dept Phys, Crete Ctr Theoret Phys, Iraklion 71003, Greece

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 05期

关键词：

AdS-CFT Correspondence; Gauge-gravity correspondence; Renormalization Group; RENORMALIZATION; SPACETIME;

D O I：

10.1007/JHEP05(2018)034

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Holographic RG flows dual to QFTs on maximally symmetric curved manifolds (dS(d), AdS(d), and S-d) are considered in the framework of Einstein-dilaton gravity in d + 1 dimensions. A general dilaton potential is used and the flows are driven by a scalar relevant operator. The general properties of such flows are analyzed and the UV and IR asymptotics computed. New RG flows can appear at finite curvature which do not have a zero curvature counterpart. The so-called 'bouncing' flows, where the beta-function has a branch cut at which it changes sign, are found to persist at finite curvature. Novel quantum first-order phase transitions are found, triggered by a variation in the d-dimensional curvature in theories allowing multiple ground states.

引用

页数：80

共 66 条

[1] Confinement in anti-de Sitter space [J].