Abstract
We compute time-ordered 2- and 3-pt correlation functions of CFT scalar operators between generic in/out states. The calculation is holographically carried out by considering a non backreacting AdS scalar field with a λϕ 3 self-interaction term on a combination of Euclidean and Lorentzian AdS sections following the Skenderis-van Rees prescription. We show that, although working in an essentially different set up, the final result for the 3-pt correlators agree with those of Rastelli et al. for Euclidean AdS. By analyzing the inner product between the in/out excited states in the large N approximation, we argue that a cubic bulk interaction deforms the excited states from coherent into squeezed. Finally, a diagrammatic interpretation of the results suggests some general properties for the n-point correlation functions between excited states.
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Botta-Cantcheff, M., Martínez, P.J. & Silva, G.A. Interacting fields in real-time AdS/CFT. J. High Energ. Phys. 2017, 148 (2017). https://doi.org/10.1007/JHEP03(2017)148
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DOI: https://doi.org/10.1007/JHEP03(2017)148