TY - JOUR
T1 - Tailoring three-point functions and integrability
AU - Escobedo, Jorge
AU - Gromov, Nikolay
AU - Sever, Amit
AU - Vieira, Pedro
PY - 2011
Y1 - 2011
N2 - We use integrability techniques to compute structure constants in N = 4 SYM to leading order at weak coupling and to leading order in the planar expansion. Three closed spin chains, which represent the single trace gauge-invariant operators in N = 4 SYM, are cut into six open chains which are then sewed back together into some nice pants, the threepoint function. The algebraic and coordinate Bethe ansatz tools necessary for this task are reviewed. Our results hold for scalar single trace operators of arbitrary size. Finally, we discuss the classical limit of our results, anticipating some predictions for quasi-classical string correlators in terms of algebraic curves.
AB - We use integrability techniques to compute structure constants in N = 4 SYM to leading order at weak coupling and to leading order in the planar expansion. Three closed spin chains, which represent the single trace gauge-invariant operators in N = 4 SYM, are cut into six open chains which are then sewed back together into some nice pants, the threepoint function. The algebraic and coordinate Bethe ansatz tools necessary for this task are reviewed. Our results hold for scalar single trace operators of arbitrary size. Finally, we discuss the classical limit of our results, anticipating some predictions for quasi-classical string correlators in terms of algebraic curves.
KW - AdS-CFT Correspondence
KW - Duality in Gauge Field Theories
KW - Integrable Field Theories
UR - http://www.scopus.com/inward/record.url?scp=80053164554&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2011)028
DO - 10.1007/JHEP09(2011)028
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AN - SCOPUS:80053164554
SN - 1126-6708
VL - 2011
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 28
ER -