%0 Journal Article %A Gómez, César %A Hernández Redondo, Rafael %T Integrability and non-perturbative effects in the AdS/CFT correspondence %D 2007 %@ 0370-2693 %U https://hdl.handle.net/20.500.14352/52140 %X We present a non-perturbative resummation of the asymptotic strong-coupling expansion for the dressing phase factor of the AdS5 × S5 string S-matrix. The non-perturbative resummation provides a general form for the coefficients in the weak-coupling expansion, in agreement with crossing symmetry and transcendentality. The ambiguities of the non-perturbative prescription are discussed together with the similarities with the non-perturbative definition of the c = 1 matrix model. %~