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

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

Abstract

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.

Citation

Chu, C., Khoze, V., & Travaglini, G. (2002). Three-point functions in N = 4 Yang-Mills theory and pp-waves. Journal of High Energy Physics, 2002(06), https://doi.org/10.1088/1126-6708/2002/06/011

• 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
• DOI: https://doi.org/10.1088/1126-6708/2002/06/011
• Keywords: String field theory, Penrose limit and pp-wave background.