Momentum space conformal three-point functions of conserved currents and a general spinning operator

Hiroshi Isono (Department of Physics, Faculty of Science, Chulalongkorn University, Bangkok, 10330, Thailand) ; Toshifumi Noumi (Department of Physics, Kobe University, Kobe, 657-8501, Japan) ; Toshiaki Takeuchi (Department of Physics, Kobe University, Kobe, 657-8501, Japan)

We construct conformal three-point functions in momentum space with a general tensor and conserved currents of spin 1 and 2. While conformal correlators in momentum space have been studied especially in the connection with cosmology, correlators involving a tensor of general spin and scaling dimension have not been studied very much yet. Such a direction is unavoidable when we go beyond three-point functions because general tensors always appear as an intermediate state. In this paper, as a first step, we solve the Ward-Takahashi identities for correlators of a general tensor and conserved currents. In particular we provide their expression in terms of the so-called triple-K integrals and a differential operator which relates triple-K integrals with different indices. For several correlators, closed forms without the differential operator are also found.

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      "surname": "Noumi", 
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      "surname": "Takeuchi", 
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Published on:
10 May 2019
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2019 (2019)
Issue 5
Pages 1-41
DOI:
https://doi.org/10.1007/JHEP05(2019)057
arXiv:
1903.01110
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

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