Generalized baryon form factors and proton structure functions in the Sakai-Sugimoto model

We investigate the production of positive parity baryon resonances in proton electromagnetic scattering within the Sakai-Sugimoto model. The latter is a string model for the non-perturbative regime of large $N_c$ QCD. Using holographic techniques we calculate the generalized Dirac and Pauli form factors that describe resonance production. We use these results to estimate the contribution of resonance production to the proton structure functions. Interestingly, we find an approximate Callan-Gross relation for the structure functions in a regime of intermediate values of the Bjorken variable.Comment: v3: 38 pages, 25 figures. We added a new subsection in order to compare our results with experimental data. To appear in Nucl. Phys.

Production of negative parity baryons in the holographic Sakai-Sugimoto model

We extend our investigation of resonance production in the Sakai-Sugimoto model to the case of negative parity baryon resonances. Using holographic techniques we extract the generalized Dirac and Pauli baryon form factors as well as the helicity amplitudes for these baryonic states. Identifying the first negative parity resonance with the experimentally observed S_{11}(1535), we find reasonable agreement with experimental data from the JLab-CLAS collaboration. We also estimate the contribution of negative parity baryons to the proton structure functions.Comment: 1+30 pages, 8 figures. v3: typos corrected, references added, section 2 and 3 shortened, improved discussion of helicity amplitudes and comparison with experimental result

Deep inelastic structure functions from supergravity at small x

Deep inelastic structure functions can be calculated from supergravity when the Bjorken parameter $x$ satisfies $x > 1/\sqrt{gN}$. We consider a gauge theory with very large 't Hooft coupling $gN$ in order to investigate the region $x << 1$. In this case the center of mass energy is large enough to increase the number of hadronic constituents of the final state. We calculate the structure functions in terms of the number of final hadronic constituents. At small $x$ we find a scaling law similar to geometric scaling but with $\gamma_s = 0.5$ and $\lambda = 1$.Comment: In V1 we assumed the transversality of the 4-d hadronic tensor but considered a non conserved 5-d current that spoils this property. In this V2 we define a modified conserved 5-d current that solves this problem and preserves our previous results for the structure functions. We also clarify the meaning of our final hadronic state. 14 pgs., 1 latex fi