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  Lorentzian CFT 3-point functions in momentum space

Bautista, T., & Godazgar, H. (2020). Lorentzian CFT 3-point functions in momentum space. Journal of High Energy Physics, 2020(1): 142. doi:10.1007/JHEP01(2020)142.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0004-9C3B-B Version Permalink: http://hdl.handle.net/21.11116/0000-0005-A5D0-5
Genre: Journal Article

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 Creators:
Bautista, Teresa1, Author              
Godazgar, Hadi1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: In a conformal field theory, two and three-point functions of scalar operators and conserved currents are completely determined, up to constants, by conformal invariance. The expressions for these correlators in Euclidean signature are long known in position space, and were fully worked out in recent years in momentum space. In Lorentzian signature, the position-space correlators simply follow from the Euclidean ones by means of the i-epsilon prescription. In this paper, we compute the Lorentzian correlators in momentum space and in arbitrary dimensions for three scalar operators by means of a formal Wick rotation. We explain how tensorial three-point correlators can be obtained and, in particular, compute the correlator with two identical scalars and one energy-momentum tensor. As an application, we show that expectation values of the ANEC operator simplify in this approach.

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 Dates: 2019-08-132020
 Publication Status: Published in print
 Pages: 31 pages + appendices
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 Rev. Method: -
 Identifiers: arXiv: 1908.04733
URI: http://arxiv.org/abs/1908.04733
DOI: 10.1007/JHEP01(2020)142
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Title: Journal of High Energy Physics
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Pages: - Volume / Issue: 2020 (1) Sequence Number: 142 Start / End Page: - Identifier: -