On correlation functions of operators dual to classical spinning string states
By Romuald A. Janik, Piotr Surówka, A. Wereszczyński. 2010
132 citations recorded by the source corpus.
We explore how to compute, classically at strong coupling, correlation functions of local operators corresponding to classical spinning string states. The picture we obtain is of ‘fattened’ Witten diagrams, the evaluation of which turns out to be surprisingly subtle and requires a modification of the naive classical action due to a necessary projection onto appropriate wave functions. We examine string solutions which compute the simplest case of a two-point function and reproduce the right scaling with the anomalous dimensions corresponding to the energies of the associated spinning string solutions. We also describe, under some simplifying assumptions, how the spacetime dependence of a conformal three-point correlation function arises in this setup.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a42f62f56ac23400ad29fa4c9179a275a92e1855
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In Nuclear and High Energy Physics
Citations in the corpus
- Tailoring three-point functions and integrability (2010, result): “here has been a lot of recent activity studying the correlation function of two heavy states and one light state [36,37], see gure6a. These works followed related earlier works on two-point functions [40]. It would be very interesting to take the continuum limit of our expressions in that case and c”
- Holographic three-point functions of semiclassical states (2010, background): “1) are consistent with this exponential dependence on (since ∆I ∼ √ λ) and, as shown in [8], the correct space-time structure of the two- and three-point correlation functions indeed follows from the classical string calculation.”
- On three-point correlation functions in the gauge/gravity duality (2010, methodology): “As detailed in [34], there is a subtlety in obtaining the string propagator, so that the classical solution for the cylinder coincides with the classical state.”