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Conformal Regge theory

Authors
Miguel S. Costa,Vasco Goncalves
Joao Penedones,Philip Havik,Kok-Kwang Phoon,Sylvain Fichet,Mitsugu Sohma,Rebecca Baillie,Frederick Ofosu,Stephen Neate,JIANXIN LU,Petr Levchenko,Alexey Uliyanov,Thomas McCauley,Andi Hektor,Kristjan Kannike,Mikhail Shaposhnikov,Alberto Lerda,Volker Adler,Melania Cristescu,Kononchuk Konstantin,Anton Zimmerling,Lazaros Nalpantidis,Cesar Arrais,Juanmin Zha,Colin Bernet,Andrew Donnell,Joachim Dengler,Simone Antonio De Rose,Wael Haj Ahmad,Trevor Glasbey,Srinivasan Jagannathan,Kunal Vyas,Timothy Cohen,James Booth,Vlastimir Leković,Mikhail Trifonov,Pablo Bueno,Peter Wolfsteiner,Veroljub Dugali,Garrett Poe,Laura Ledesma,Dimitrios Zoakos,Carlos Mafra,David Shih,Jesse Thaler,Alain Jaccard,Sudheer Madathiparambil,Carolyn Dzierba,Francesco Cilurzo,Erdal Can Alkoclar,Liam McAllister,Marc Torrens,Stefan Hoeche,Andrew Degnan,Andy Van Brocklin,Pavel Fileviez Perez,David Van Wie,Seok Ki Choi,Robert Stala,Pedro Pereira,Flor E. Acevedo,Keisuke Harigaya,Jonathan Wall,Marie Connett,Aaron Balog,Cemile Bardak,Silviu Pufu,Antonio Amores Arrocha,Bulent Basol,Paola Tropea,Steven Juhyung Lee,Hassane Hamdaoui,Dilber Uzun Ozsahin,Matthew Sullivan,Andrew Tolley,Ioannis Manthos,Elisa Fumagalli,David Clarke,Jeff Forshaw,Torben Spanget Christensen,Bo Feng,Alexandre Laurier,Ana Duarte-Hueros,Dan Andersen,Ana Mª Roldán Gómez,Vitor Oguri,Jan-Hendrik Arling,David Lomidze,Sercan Sen,Víctor Manuel Palacios Macías,Sebastien Descotes-Genon,Nasuf SONMEZ,Tomás Ortín,Bettina Nygaard,Jefferson Prado,Sergey Troitsky,Julien Caudron,Torsten Dahms,Muhammed Deniz,Oana Vickey Boeriu,Letizia Lusito,Christos Leonidopoulos,Dmitry Golubkov,Eliot Specht,Eran Yahav,Elke Krasny,Ana Belen Campuzano,Serge-Étienne Parent,Rachel Bartek,Jose Crossa,Yasunori Nomura,Alessandro Iannace,Anton Galajinsky,Erick Alexanderson-Rosas,C. 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Conformal Regge theory
Miguel S. Costa, Vasco Goncalves, João Penedones
Centro de Física do Porto
Departamento de Física e Astronomia
Faculdade de Ciências da Universidade do Porto
Rua do Campo Alegre 687, 4169–007 Porto, Portugal
Perimeter Institute for Theoretical Physics
Waterloo, Ontario N2J 2W9, Canada
Abstract
We generalize Regge theory to correlation functions in conformal field theories.
This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and
S-matrix elements. In the process, we develop the conformal partial wave expansion in
Mellin space, elucidating the analytic structure of the partial amplitudes. We apply the
new formalism to the case of four point correlation functions between protected scalar
operators in N = 4 Super Yang Mills, in cases where the Regge limit is controlled by
the leading twist operators associated to the pomeron-graviton Regge trajectory. At
weak coupling, we are able to predict to arbitrary high order in the ’t Hooft coupling
the behaviour near J = 1 of the OPE coefficients COOJ between the external scalars
and the spin J leading twist operators. At strong coupling, we use recent results for
the anomalous dimension of the leading twist operators to improve current knowledge
of the AdS graviton Regge trajectory - in particular, determining the next and next
to next leading order corrections to the intercept. Finally, by taking the flat space
limit and considering the Virasoro-Shapiro S-matrix element, we compute the strong
coupling limit of the OPE coefficient CLLJ between two Lagrangians and the leading
twist operators of spin J.
arXiv:1209.4355v5 [hep-th] 22 Jul 2018
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