Neutron Electric Dipole Moment from Gauge-String Duality

We compute the electric dipole moment of nucleons in the large Nc QCD model by Witten, Sakai, and Sugimoto with Nf=2 degenerate massive flavors. Baryons in the model are instantonic solitons of an effective five-dimensional action describing the whole tower of mesonic fields. We find that the dipole electromagnetic form factor of the nucleons, induced by a finite topological θ angle, exhibits complete vector meson dominance. We are able to evaluate the contribution of each vector meson to the final result—a small number of modes are relevant to obtain an accurate estimate. Extrapolating the model parameters to real QCD data, the neutron electric dipole moment is evaluated to be dn=1.8×10-16θ e cm. The electric dipole moment of the proton is exactly the opposite.