Deep inelastic scattering from gauge string duality in the soft wall model
Abstract
Deep inelastic structure functions have been calculated by Polchinski and Strassler in gauge/string duality introducing a hard infrared (IR) cut off in AdS space. Here we investigate this problem using a soft IR cut off that leads to linear Regge trajectories for mesons. We calculate the structure functions for scalar particles in the large x regime where supergravity approximation holds and the small x regime where massive string states contribute. We also propose a hybrid model to calculate structure functions for fermions in the supergravity approximation. In the deep inelastic limit our results are in agreement with those obtained using a hard cut off.
Cite
@article{arxiv.0711.0221,
title = {Deep inelastic scattering from gauge string duality in the soft wall model},
author = {C. A. Ballon Bayona and Henrique Boschi-Filho and Nelson R. F. Braga},
journal= {arXiv preprint arXiv:0711.0221},
year = {2008}
}
Comments
V3: Results unchanged. We clarified the differences between the soft and hard wall models regarding the calculation of structure functions in DIS. We included a calculation of elastic form factors. We explained in more detail the hybrid model proposed for fermions. Version accepted for publication in JHEP. 20 pages, 1 Latex figure