Relativistic partial waves for celestial amplitudes

A bstract The formalism of relativistic partial wave expansion is developed for four-point celestial amplitudes of massless external particles. In particular, relativistic partial waves are found as eigenfunctions to the product representation of celestial Poincaré Casimir operators with appropriate...

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Bibliographic Details
Published in:The journal of high energy physics 2020-11, Vol.2020 (11), p.1-28, Article 149
Main Authors: Law, Y.T. Albert, Zlotnikov, Michael
Format: Article
Language:English
Subjects:
Amplitudes
ASTRONOMY AND ASTROPHYSICS
Classical and Quantum Gravitation
Eigenvalues
Eigenvectors
Elementary Particles
Gluons
Gravitons
High energy physics
Minkowski space
Operators (mathematics)
Orthogonality
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativistic effects
Relativistic particles
Relativity Theory
Scalars
Scattering Amplitudes
Space-Time Symmetries
String Theory
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Summary:A bstract The formalism of relativistic partial wave expansion is developed for four-point celestial amplitudes of massless external particles. In particular, relativistic partial waves are found as eigenfunctions to the product representation of celestial Poincaré Casimir operators with appropriate eigenvalues. The requirement of hermiticity of Casimir operators is used to fix the corresponding integral inner product, and orthogonality of the obtained relativistic partial waves is verified explicitly. The completeness relation, as well as the relativistic partial wave expansion follow. Example celestial amplitudes of scalars, gluons, gravitons and open superstring gluons are expanded on the basis of relativistic partial waves for demonstration. A connection with the formulation of relativistic partial waves in the bulk of Minkowski space is made in appendices.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2020)149