Relativistic partial waves for celestial amplitudes

2020/08/31 by Y. T. Albert Law, Michael Zlotnikov · 37 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Casimir effect #Classical mechanics #Cosmology and Gravitation Theories #Graviton #Massless particle #Mathematical physics #Minkowski space #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #hep-th

paper · pdf · doi:10.1007/jhep11(2020)149

published in Journal of High Energy Physics 2020(11) (Springer Nature) · 26 pages, no figures, published version

openalex publication_date 2020/11/01 · arxiv created 2020/11/30 · arxiv updated 2020/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• A holographic reduction of Minkowski space–time
• Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
• Gravitational waves in general relativity VIII. Waves in asymptotically flat space-time
• On Unitary Representations of the Inhomogeneous Lorentz Group
• Notes on Conformal Soft Theorems and Recursion Relations in Gravity
• Celestial operator products of gluons and gravitons

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