Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-25
JHEP 1008:057,2010
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 1 figure; minor corrections, references added, footnote below eq. (4.5) added
Scientific paper
10.1007/JHEP08(2010)057
We consider the 2-point function of string vertex operators representing string state with large spin in AdS_5. We compute this correlator in the semiclassical approximation and show that it has the expected (on the basis of state-operator correspondence) form of the strong-coupling limit of the 2-point function of single trace minimal twist operators in gauge theory. The semiclassical solution representing the stationary point of the path integral with two vertex operator insertions is found to be related to the large spin limit of the folded spinning string solution by a euclidean continuation, transformation to Poincare coordinates and conformal map from cylinder to complex plane. The role of the source terms coming from the vertex operator insertions is to specify the parameters of the solution in terms of quantum numbers (dimension and spin) of the corresponding string state. Understanding further how similar semiclassical methods may work for 3-point functions may shed light on strong-coupling limit of the corresponding correlators in gauge theory as was recently suggested by Janik et al in arXiv:1002.4613.
Buchbinder Evgeny I.
Tseytlin Arkady A.
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