Closed-form expression for cross-channel conformal blocks near the lightcone

DOI DOI 機関リポジトリ PDF Web Site 参考文献43件 オープンアクセス

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公開日
2020-01-10
資源種別
journal article
権利情報
  • © The Author(s)
  • Creative Commons Attribution 4.0 International(https://creativecommons.org/licenses/by/4.0/)
DOI
  • 10.1007/jhep01(2020)055
  • 10.48550/arxiv.1906.00707
公開者
Springer Nature

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説明

In the study of conformal field theories, conformal blocks in the lightcone limit are fundamental to the analytic conformal bootstrap method. Here we consider the lightcone limit of 4-point functions of generic scalar primaries. Based on the nonperturbative pole structure in spin of Lorentzian inversion, we propose the natural basis functions for cross-channel conformal blocks. In this new basis, we find a closed-form expression for crossed conformal blocks in terms of the Kampe de Feriet function, which applies to intermediate operators of arbitrary spin in general dimensions. We derive the general Lorentzian inversion for the case of identical external scaling dimensions. Our results for the lightcone limit also shed light on the complete analytic structure of conformal blocks in the lightcone expansion.

source:https://creativecommons.org/licenses/by/4.0/

source:https://rd.springer.com/article/10.1007/JHEP01%282020%29055

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