2007/12/31 by R. Roiban, Radu Roiban, A.A. Tseytlin +1 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.77.066006
published as Phys.Rev.D77:066006,2008 · 31 pages, Latex. v2:minor corrections; few comments and references added v3: typos corrected
arxiv created 2008/01/29 · openalex publication_date 2008/03/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider folded (S,J) spinning strings in AdS5\ifmmode×\else\texttimes\fiS5 (with one spin component in AdS5 and a one in S5) corresponding to the Tr(DS\ensuremathΦJ) operators in the sl(2) sector of the N=4 super Yang-Mills theory in the special scaling limit in which both the string mass \ensuremath∼√\ensuremathλlnS and J are sent to infinity with their ratio fixed. Expanding in the parameter \ensuremathℓ=\fracJ√\ensuremathλlnS we compute the 2-loop string sigma-model correction to the string energy and show that it agrees with the expression proposed by Alday and Maldacena [J. High Energy Phys. 11 (2007) 019]. We suggest that a resummation of the logarithmic \ensuremathℓ2lnn\ensuremathℓ terms is necessary in order to establish an interpolation to the weakly coupled gauge-theory results. In the process, we set up a general framework for the calculation of higher loop corrections to the energy of multispin string configurations. In particular, we find that in addition to the direct 2-loop term in the string energy there is a contribution from lower loop order due to a finite ``renormalization'' of the relation between the parameters of the classical solution and the fixed spins, i.e., the charges of the SO(2,4)\ifmmode×\else\texttimes\fiSO(6) symmetry.