Bound state scattering simplified
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2020-12-15
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Journal Article
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Abstract
In the description of the AdS5/CFT4 duality by an integrable system the scattering matrix for bound states plays a crucial rôle: it was initially constructed for the evaluation of finite size corrections to the planar spectrum of energy levels/anomalous dimensions by the thermodynamic Bethe ansatz, and more recently it reappeared in the context of the gluing prescription of the hexagon approach to higher-point functions. In this work we present a simplified form of this scattering matrix and we make its pole structure manifest. We find some new relations between its matrix elements and also present an explicit form for its inverse. We finally discuss some of its properties including crossing symmetry. Our results will hopefully be useful for computing finite-size effects, in particular for simplifying the complicated sum integrals arising from the gluing of hexagons, as well as help towards understanding universal features of the AdS5/CFT4 scattering matrix.
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102 (12)
Pages / Article No.
126001
Publisher
American Physical Society
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03657 - Gaberdiel, Matthias / Gaberdiel, Matthias
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190657 - Exact correlation functions in AdS/CFT (SNF)
- - Planets and their deep volatile reservoirs (SNF)
- - Planets and their deep volatile reservoirs (SNF)