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Three-point functions in N=4 Yang-Mills theory and pp-waves | | Chong-Sun Chu
; Valentin V. Khoze
; Gabriele Travaglini
; | | Date: |
3 Jun 2002 | | Journal: | JHEP 0206 (2002) 011 | | Subject: | hep-th | | Abstract: | Recently it has been proposed that the coefficient of the three-point function of the BMN operators in N=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 lambda’ = g_{YM}^2 N/J^2 in planar perturbation theory. On the string theory side, we derive the explicit expressions of the Neumann matrices to all orders in 1/(mu p^+ alpha’)^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/(mu p^+ alpha’)^2 and find perfect agreement. | | Source: | arXiv, hep-th/0206005 | | Services: | Forum | Review | PDF | Favorites | |
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