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  Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators

Fan, W., Fotopoulos, A., Stieberger, S., & Taylor, T. R. (2021). Conformal Blocks from Celestial Gluon Amplitudes II: Single-valued Correlators. Journal of High Energy Physics, 11, 179. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2021-94.

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externe Referenz:
https://arxiv.org/pdf/2108.10337 (beliebiger Volltext)
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 Urheber:
Fan, Wei1, Autor
Fotopoulos, Angelos1, Autor
Stieberger, Stephan1, Autor
Taylor, Tomasz R.1, Autor
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Schlagwörter: Theoretical Physics
 Zusammenfassung: In a recent paper, here referred to as part I, we considered the celestial four-gluon amplitude with one gluon represented by the shadow transform of the corresponding primary field operator. This correlator is ill-defined because it contains branch points related to the presence of conformal blocks with complex spin. In this work, we adopt a procedure similar to minimal models and construct a single-valued completion of the shadow correlator, in the limit when the shadow is "soft." By following the approach of Dotsenko and Fateev, we obtain an integral representation of such a single-valued correlator. This allows inverting the shadow transform and constructing a single-valued celestial four-gluon amplitude. This amplitude is drastically different from the original Mellin amplitude. It is defined over the entire complex plane and has correct crossing symmetry, OPE and bootstrap properties. It agrees with all known OPEs of celestial gluon operators. The conformal block spectrum consists of primary fields with dimensions Δ=m+iλ, with integer m≥1 and various, but always integer spin, in all group representations contained in the product of two adjoint representations.

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 Datum: 2021
 Publikationsstatus: Erschienen
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Titel: Journal of High Energy Physics
  Kurztitel : JHEP
Genre der Quelle: Zeitschrift
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Seiten: - Band / Heft: 11 Artikelnummer: - Start- / Endseite: 179 Identifikator: -