Matching quantum strings to quantum spins: one-loop vs. finite-size corrections

Details Matching quantum strings to quantum spins: one-loop vs. finite-size corrections Matching quantum strings to quantum spins: one-loop vs. finite-size corrections

2005-02-21

arxiv.org/abs/hep-th/0502173v3

Nucl.Phys.B715:190-210,2005

Physics

High Energy Physics

High Energy Physics - Theory

23 pages. v2: references added, v3: misprints corrected and references added

Scientific paper

10.1016/j.nuclphysb.2005.03.030

We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help of the Bethe ansatz. The results of all three approaches are in remarkable agreement with each other. As a byproduct we establish the relationship between linear instabilities in the Landau-Lifshitz model and analyticity properties of the Bethe ansatz.

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