Exact expressions for quantum corrections to spinning strings

Details Exact expressions for quantum corrections to spinning strings Exact expressions for quantum corrections to spinning strings

2006-02-21

arxiv.org/abs/hep-th/0602214v1

Phys.Lett.B639:571-578,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure

Scientific paper

10.1016/j.physletb.2006.03.033

The one-loop worldsheet quantum corrections to the energy of spinning strings on R x S^3 within AdS_5 x S^5 are reexamined. The explicit expansion in the effective 't Hooft coupling \lambda'= \lambda/J^2 is rigorously derived. The expansion contains both analytic and non-analytic terms in \lambda', as well as exponential corrections. Furthermore, we pin down the origin of the terms that are not captured by the quantum string Bethe ansatz, which only produces analytic terms in \lambda'. It is shown that the analytic terms arise from string fluctuations within the S^3, whereas the non-analytic and exponential terms, which are not captured by the Bethe ansatz, originate from the fluctuations in all directions within the supersymmetric sigma model on AdS_5 x S^5. We also comment on the case of spinning string in AdS_3 x S^1.

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