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*LPT–Orsay*–08–76

, 809

"... Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N = 4 SYM theory by the scaling function which coincides at strong coupling with the energy density of a two-dimensional bosonic O(6) sigma model. We calculate this function by combinin ..."

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Asymptotic behavior of the anomalous dimensions of Wilson operators with high spin and twist is governed in planar N = 4 SYM theory by the scaling function which coincides at strong coupling with the energy density of a two-dimensional bosonic O(6) sigma model. We calculate this function by combining the two-loop correction to the energy density for the O(n) model with two-loop correction to the mass gap determined by the all-loop Bethe ansatz in N = 4 SYM theory. The result is in agreement with the prediction coming from the thermodynamical limit of the quantum string Bethe ansatz equations, but disagrees with the two-loop stringy corrections The AdS/CFT [1] establishes the correspondence between Wilson operators in N = 4 super Yang-Mills theory (SYM) and states of strings spinning on AdS5 × S 5 background [2, 3]. It has been recently recognized that there exists a remarkable relation between both theories and the two-dimensional bosonic O(6) sigma model. This relation emerges when one studies anomalous

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*LPT-Orsay*/08-44

, 2008

"... IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation ..."

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IR finiteness of the ghost dressing function from numerical resolution of the ghost SD equation

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*LPT-Orsay*-02-15

, 2002

"... We discuss the stringy properties of high-energy QCD using its hidden integrability in the Regge limit and on the light-cone. It is shown that multi-colour QCD in the Regge limit belongs to the same universality class as superconformal N=2 SUSY YM with Nf = 2Nc at the strong coupling orbifold point. ..."

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We discuss the stringy properties of high-energy QCD using its hidden integrability in the Regge limit and on the light-cone. It is shown that multi-colour QCD in the Regge limit belongs to the same universality class as superconformal N=2 SUSY YM with Nf = 2Nc at the strong coupling orbifold point. The analogy with integrable structure governing the low energy sector of N=2 SUSY gauge theories is used to develop the brane picture for the Regge limit. In this picture the scattering process is described by a single M2 brane wrapped around the spectral curve of the integrable spin chain and unifying hadrons and reggeized gluons involved in the process. New quasiclassical quantization conditions for the complex higher integrals of motion are suggested which are consistent with the S−duality of the multi-reggeon spectrum. The derivation of the anomalous dimensions of the lowest twist operators is formulated in terms of the Riemann surfaces. 1

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*LPT-Orsay*-0360

, 2004

"... Radion and moduli stabilization from induced brane actions in higher-dimensional brane worlds ..."

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Radion and moduli stabilization from induced brane actions in higher-dimensional brane worlds