One loop scattering on D-branes

Abstract

We analyze one loop scattering amplitudes of the massless states on a stack of D3-branes. We use the vertex operators that have been obtained in the direct open string analysis developed in arXiv:0708.3452. The method does not have the obstacle of the D9 computation which is associated with the appearance of an $\e$-tensor. The divergence structure is not the same as the D9 brane case. What makes the analysis deviate from the D9 brane case is that the momenta of the states have non-zero components only along the brane directions. We ponder on the possibility that the one-loop divergence may be canceled by adding additional vertex operators at the tree level. We anticipate that they will be "exponentiated" to the free string action, with the resulting action to constitute a non-linear sigma model of the D-brane/AdS geometry.

17 pages, 1 figure, refs added and adjusted, minor typos corrected, a version that will appear in EPJC

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• On SYM theory and all order Bulk Singularity Structures of BPS Strings in type II theory
• Remarks on Non-BPS String Amplitudes and Their All Order ${\alpha }^{\prime }$ Contact Interactions in IIB, IIA
• On WZ and RR Couplings of BPS Branes and their all order ${\alpha }^{\prime }$ Corrections in IIB, IIA
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• Vertex operator formulation of scattering around black hole
• On Non-BPS Effective Actions of String Theory
• Pure spinor computation towards open string three-loop
• On New Bulk Singularity Structures, RR Couplings in Asymmetric Picture and Their All Order ${\alpha }^{\prime }$ Corrections
• On BPS World Volume, RR Couplings and their ${\alpha }^{\prime }$ Corrections in type IIB
• SYM anomalous dimension from open string engineered curvature