Writing CFT correlation functions as AdS scattering amplitudes

被引:437
作者
Penedones, Joao [1 ,2 ,3 ]
机构
[1] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[2] Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA
[3] Ctr Fis Porto, P-4169007 Oporto, Portugal
基金
美国国家科学基金会; 加拿大自然科学与工程研究理事会;
关键词
AdS-CFT Correspondence; Gauge-gravity correspondence; 4-POINT FUNCTIONS; ADS/CFT CORRESPONDENCE; EXCHANGE INTERACTION; GRAVITON EXCHANGE; FIELD-THEORIES; SPACE;
D O I
10.1007/JHEP03(2011)025
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
We explore the Mellin representation of conformal correlation functions recently proposed by Mack. Examples in the AdS/CFT context reinforce the analogy between Mellin amplitudes and scattering amplitudes. We conjecture a simple formula relating the bulk scattering amplitudes to the asymptotic behavior of Mellin amplitudes and show that previous results on the flat space limit of AdS follow from our new formula. We find that the Mellin amplitudes are particularly useful in the case of conformal gauge theories in the planar limit. In this case, the four point Mellin amplitudes are meromorphic functions whose poles and their residues are entirely determined by two and three point functions of single-trace operators. This makes the Mellin amplitudes the ideal objects to attempt the conformal bootstrap program in higher dimensions.
引用
收藏
页数:34
相关论文
共 33 条
[21]   Gauge theory correlators from non-critical string theory [J].
Gubser, SS ;
Klebanov, IR ;
Polyakov, AM .
PHYSICS LETTERS B, 1998, 428 (1-2) :105-114
[22]   More holography from conformal field theory [J].
Heemskerk, Idse ;
Sully, James .
JOURNAL OF HIGH ENERGY PHYSICS, 2010, (09)
[23]   Holography from conformal field theory [J].
Heemskerk, Idse ;
Penedones, Joao ;
Polchinski, Joseph ;
Sully, James .
JOURNAL OF HIGH ENERGY PHYSICS, 2009, (10)
[24]   ONE-GRAVITON EXCHANGE INTERACTION OF NONMINIMALLY COUPLED SCALAR FIELDS [J].
HUGGINS, SR ;
TOMS, DJ .
CLASSICAL AND QUANTUM GRAVITY, 1987, 4 (06) :1509-1513
[25]   AdS/CFT correspondence and symmetry breaking [J].
Klebanov, IR ;
Witten, E .
NUCLEAR PHYSICS B, 1999, 556 (1-2) :89-114
[26]   Scattering in anti-de Sitter space and operator product expansion [J].
Liu, H .
PHYSICAL REVIEW D, 1999, 60 (10)
[27]  
Mack G., ARXIV09072407
[28]   The large-N limit of superconformal field theories and supergravity [J].
Maldacena, J .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (04) :1113-1133
[29]   The large-N limit of superconformal field theories and supergravity [J].
Maldacena, J .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1999, 38 (04) :1113-1133
[30]  
OKUDA T, ARXIV10022641