Bootstrapping Witten diagrams via differential representation in Mellin space

A bstract We explore the use of the differential representation of AdS amplitudes to compute Witten diagrams. The differential representation expresses AdS amplitudes in terms of conformal generators acting on contact Witten diagrams, which allows us to construct differential equations for Witten di...

Full description

Saved in:
Bibliographic Details
Published inThe journal of high energy physics Vol. 2023; no. 7; pp. 156 - 41
Main Authors Li, Yue-Zhou, Mei, Jiajie
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 20.07.2023
Springer Nature B.V
SpringerOpen
Subjects
AdS-CFT Correspondence
Algorithms
Amplitudes
Classical and Quantum Gravitation
Difference equations
Differential equations
Elementary Particles
Gluons
High energy physics
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Representations
Scalars
Scattering Amplitudes
String Theory
AdS-CFT Correspondence
Scattering Amplitudes
Online AccessGet full text

Cover

More Information
Summary:A bstract We explore the use of the differential representation of AdS amplitudes to compute Witten diagrams. The differential representation expresses AdS amplitudes in terms of conformal generators acting on contact Witten diagrams, which allows us to construct differential equations for Witten diagrams. These differential equations can then be transformed into difference equations in Mellin space, which can be solved recursively. Using this method, we efficiently re-computed scalar four-point amplitudes and obtained new results for scalar six-point amplitudes mediated by gluons and scalars, as well as two examples of scalar eight-point amplitudes from gluon exchange.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2023)156