Conformal multi-Regge theory

Miguel Costa (Centro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Porto, 4169-007, Portugal) ; Vasco Gonçalves (Centro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Porto, 4169-007, Portugal) ; Aaditya Salgarkar (Centro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Porto, 4169-007, Portugal) ; João Boas (Centro de Física do Porto e Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Porto, 4169-007, Portugal; Fields and Strings Laboratory, Institute of Physics, École Polytechnique Fédéral de Lausanne (EPFL), Route de la Sorge, Lausanne, CH-1015, Switzerland)

We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some features of Regge theory for flat-space scattering amplitudes, we analyze the analytic structure of conformal blocks both in position and Mellin space in the Regge limit and propose an extension of conformal Regge theory for five-point functions. As a byproduct of our analysis we also introduce a new basis of three-point correlation functions for operators with spin and the associated Euclidean conformal blocks.

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      "surname": "Gon\u00e7alves", 
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      "value": "We propose and explore the Regge limit for correlation functions of five local primary operators in conformal field theories. After reviewing some features of Regge theory for flat-space scattering amplitudes, we analyze the analytic structure of conformal blocks both in position and Mellin space in the Regge limit and propose an extension of conformal Regge theory for five-point functions. As a byproduct of our analysis we also introduce a new basis of three-point correlation functions for operators with spin and the associated Euclidean conformal blocks."
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Published on:
22 September 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 9
Pages 1-49
DOI:
https://doi.org/10.1007/JHEP09(2023)155
arXiv:
2305.10394
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: