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Journal Article

Lorentzian CFT 3-point functions in momentum space

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Bautista,  Teresa
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Godazgar,  Hadi
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1908.04733.pdf
(Preprint), 325KB

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Citation

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.


Cite as: https://hdl.handle.net/21.11116/0000-0004-9C3B-B
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.