Gauge fields-strings duality and the loop equation

被引:73
作者
Polyakov, A [1 ]
Rychkov, V
机构
[1] Princeton Univ, Joseph Henry Labs, Princeton, NJ 08544 USA
[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0550-3213(00)00183-8
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 gauge fields-strings duality by means of the loop equations and the zigzag symmetry, The results are striking and incomplete. Striking - because we find that the string ansatz proposed in [1] satisfies gauge theory Schwinger-Dyson equations precisely at the critical dimension D-cr = 4. Incomplete - since we get these results only in the WKB approximation and only for a special class of contours. The ways to go beyond these limitations and in particular the OPE for operators defined on the loop are also discussed. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:116 / 134
页数:19
相关论文
共 23 条
[1]  
[Anonymous], HEPTH9711200
[2]   STRINGS IN BACKGROUND FIELDS [J].
CALLAN, CG ;
FRIEDAN, D ;
MARTINEC, EJ ;
PERRY, MJ .
NUCLEAR PHYSICS B, 1985, 262 (04) :593-609
[3]  
DORN H, 1986, FORTSCHR PHYS, V34, P11, DOI 10.1002/prop.19860340104
[4]   Wilson loops and minimal surfaces [J].
Drukker, N ;
Gross, DJ ;
Ooguri, H .
PHYSICAL REVIEW D, 1999, 60 (12)
[5]   QUANTUM DUAL STRING WAVE FUNCTIONAL IN YANG-MILLS THEORIES [J].
GERVAIS, JL ;
NEVEU, A .
PHYSICS LETTERS B, 1979, 80 (03) :255-258
[6]  
Graham CR, 1999, NUCL PHYS B, V546, P52, DOI 10.1016/S0550-3213(99)00055-3
[7]   Gauge theory correlators from non-critical string theory [J].
Gubser, SS ;
Klebanov, IR ;
Polyakov, AM .
PHYSICS LETTERS B, 1998, 428 (1-2) :105-114
[8]  
GUBSER SS, HEPTH9802109
[9]  
KLEBANOV I, HEPTH9702076
[10]   World-volume approach to absorption by non-dilatonic branes [J].
Klebanov, IR .
NUCLEAR PHYSICS B, 1997, 496 (1-2) :231-242