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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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アイテムのパーマリンク: https://hdl.handle.net/21.11116/0000-000A-1CB7-9 版のパーマリンク: https://hdl.handle.net/21.11116/0000-000A-1CB8-8
資料種別: 学術論文

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URL:
https://arxiv.org/pdf/2108.10337 (全文テキスト(全般))
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 作成者:
Fan, Wei1, 著者
Fotopoulos, Angelos1, 著者
Stieberger, Stephan1, 著者
Taylor, Tomasz R.1, 著者
所属:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

内容説明

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キーワード: Theoretical Physics
 要旨: 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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 日付: 2021
 出版の状態: 出版
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出版物 1

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出版物名: Journal of High Energy Physics
  省略形 : JHEP
種別: 学術雑誌
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出版社, 出版地: -
ページ: - 巻号: 11 通巻号: - 開始・終了ページ: 179 識別子(ISBN, ISSN, DOIなど): -