New inequality for Wilson loops from AdS/CFT

被引：5
作者：
Hirata, Tomoyoshi [1 ]
机构：
[1] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2008年 / 03期
关键词：
field theories in higher dimensions; field theories in lower dimensions; AdS-CFT correspondence;
D O I：
10.1088/1126-6708/2008/03/018
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：
The strong subadditivity is the most important inequality which entanglement entropy satisfies. Based on the Ads/CFT conjecture, entanglement entropy in CFT is equal to the area of the minimal surface in AdS space. It is known that a Wilson loop can also be holographically compound from the minimal surface in AdS space. In this paper, we argue that Wilson loops satisfy a similar inequality, and find several evidence of it.
引用
收藏
页数：18
相关论文
共 19 条
[1]  
Aczel J., 1974, ADV APPL PROBAB, V6, P131
[2]  
[Anonymous], 1975, REP MATH PHYS
[3]   CONCAVITY OF THE QUARKONIUM POTENTIAL [J].
BACHAS, C .
PHYSICAL REVIEW D, 1986, 33 (09) :2723-2725
[4]   RENORMALIZATION OF LOOP FUNCTIONS FOR ALL LOOPS [J].
BRANDT, RA ;
NERI, F ;
SATO, M .
PHYSICAL REVIEW D, 1981, 24 (04) :879-902
[5]   Concavity of the Q(Q)over-bar potential in N=4 super Yang-Mills gauge theory and AdS/CFT duality [J].
Dorn, H ;
Pershin, VD .
PHYSICS LETTERS B, 1999, 461 (04) :338-344
[6]  
Fursaev DV, 2006, J HIGH ENERGY PHYS
[7]   Holographic proof of the strong subadditivity of entanglement entropy [J].
Headrick, Matthew ;
Takayanagi, Tadashi .
PHYSICAL REVIEW D, 2007, 76 (10)
[8]   AdS/CFT and strong subadditivity of entanglement entropy [J].
Hirata, Tomoyoshi ;
Takayanagi, Tadashi .
JOURNAL OF HIGH ENERGY PHYSICS, 2007, (02)
[9]   RENORMALIZATION OF THE WILSON LOOPS BEYOND THE LEADING ORDER [J].
KORCHEMSKY, GP ;
RADYUSHKIN, AV .
NUCLEAR PHYSICS B, 1987, 283 (1-2) :342-364
[10]   PROOF OF STRONG SUBADDITIVITY OF QUANTUM-MECHANICAL ENTROPY [J].
LIEB, EH ;
RUSKAI, MB .
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (12) :1938-1941
12