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00925njm 22002777a 4500 dc Gómez, César author Hernández Redondo, Rafael author 2007-01-25 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. 0370-2693 10.1016/j.physletb.2006.12.007 https://hdl.handle.net/20.500.14352/52140 http://dx.doi.org/10.1016/j.physletb.2006.12.007 http://www.sciencedirect.com Integrability and non-perturbative effects in the AdS/CFT correspondence