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Three-point functions in N = 4 Yang-Mills theory and pp-waves

Chu, C-S.; Khoze, V.V.; Travaglini, G.


C-S. Chu

G. Travaglini


Recently it has been proposed that the coefficient of the three-point function of the BMN operators in = 4 supersymmetric Yang-Mills theory is related to the three-string interactions in the pp-wave background. We calculate three-point functions of these operators to the first order in the effective Yang-Mills coupling λ' = gYM2N/J2 in planar perturbation theory. On the string theory side, we derive the explicit expressions of the Neumann matrices to all orders in 1/(μp+α')2. This allows us to compute the corresponding three-string scattering amplitudes. This provides an all orders prediction for the field theory three-point functions. We compare our field theory results with the string theory results to the subleading order in 1/(μp+α')2 and find perfect agreement.

Journal Article Type Article
Publication Date Jun 12, 2002
Deposit Date May 8, 2008
Publicly Available Date May 8, 2008
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2002
Issue 06
Keywords String field theory, Penrose limit and pp-wave background.
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