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Relativistic partial waves for celestial amplitudes

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arxiv 2008.02331 v2 pith:NCUGUUFI submitted 2020-08-05 hep-th

Y. T. Albert Law , Michael Zlotnikov This is my paper · ORCID
classification hep-th
keywords partialrelativisticwavescelestialamplitudescasimirexpansiongluons
verification ladder T0 review T1 audit T2 compute T3 formal
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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 Poincar\'e 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.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Conformal blocks from celestial graviton amplitudes

    hep-th 2025-01 conditional novelty 7.0 of 10

    The authors construct a single-valued celestial four-graviton correlator from the shadow transform, decompose it into conformal blocks in all channels, and show it is the double copy of the corresponding gluon object.

  2. Celestial Regge theory

    hep-th 2026-02 conditional novelty 6.0 of 10

    Celestial pair correlators in the Regge limit are shown to encode bulk Regge-pole residues, giving a dictionary between celestial CFT OPE data and bulk partial amplitudes (eq. 5.6).

  3. Multiparticle States for the Flat Hologram

    hep-th 2024-12 conditional novelty 6.0 of 10

    The paper defines and constructs composite or multiparticle primary operators for Carrollian and celestial CFTs using OPE blocks and momentum-space partial waves, extending the flat-space dictionary beyond single-part...

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