2004/05/04 by János Balog, Janos Balog, Peter Weisz
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th
paper · pdf · doi:10.1016/j.physletb.2004.05.018
published as Phys.Lett. B594 (2004) 141-152 · 16 pages, 6 figures
arxiv created 2004/05/04 · openalex publication_date 2004/06/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate structure functions in the 2--dimensional (asymptotically free) non--linear O(n) σ--models using the non--perturbative S--matrix bootstrap program. In particular the \it exact small (Bjorken) x behavior is exhibited; the structure is rather universal and is probably the same in a wide class of (integrable) asymptotically free models. Structurally similar universal formulae may also hold for the small x behavior of QCD in 4--dimensions. Structure functions in the special case of the n=3 model are accurately computed over the whole x range for -q2/M2<105, and some moments are compared with results from renormalized perturbation theory. Some remarks concerning the structure functions in the 1/n approximation are also made.