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arXiv · 1703.02384

Interacting fields in real-time AdS/CFT

Marcelo Botta-Cantcheff·Pedro J. Martínez·Guillermo A. Silva
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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 \emph{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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Marcelo Botta-Cantcheff, Pedro J. Martínez, Guillermo A. Silva. 2017-03-07. Interacting fields in real-time AdS/CFT. https://doi.org/10.1007/jhep03(2017)148

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