Figure 10: Effect of the Coulomb repulsion on the linear contribution in to the quasiparticle renormalization. DMFT results for the antiferromagnetic phase (AF-DMFT) are compared with DMFT in the paramagnetic state (P-DMFT) and to a self-consistent Born Approximation (SCBA) for the t-J model for parameters corresponding to the red dots AF-DMFT. Antiferromagnetism allows for a sizable e-ph coupling also in the present of very strong Coulomb repulsion, in contrast with paramagnetic results (after Sangiovanni et al. [92]).