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The complete one-loop BMN S-matrix in AdS 3 × S 3 × T 4

2016/05/12 by Per Sundin, Linus Wulff · 39 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Boson #High-Energy Particle Collisions Research #Homogeneous space #Massless particle #Quantum Chromodynamics and Particle Interactions #Scale (ratio) #Scattering #hep-th

paper · pdf · doi:10.1007/jhep06(2016)062

published in Journal of High Energy Physics 2016(6) (Springer Nature) · 20 pages; v2: References and minor clarification added

arxiv created 2016/05/12 · openalex publication_date 2016/06/01 · openalex created_date 2016/06/24 · arxiv updated 2016/06/29 · openalex updated_date 2026/08/05

Abstract

We compute the full one-loop 2-particle S-matrix for excitations of the type IIB AdS 3 × S 3 × T 4 BMN string. The S-matrix is found to respect the expected symmetries and the phases are consistent with the crossing equations. By analyzing how the relevant integrals scale with the IR regulator we show that scattering of massless bosons is trivial at two loops. Based on our results we argue that the additional su(2) S-matrix appearing in the massless sector in the exact solution should trivialize.

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