Structure Functions for small DIS x

2025/12/22 by Hrachya M. Babujian, Babujian, Hrachya M., Angela Foerster +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions

paper · doi:10.48550/arxiv.2512.19555

openalex publication_date 2025/12/22 · openalex created_date 2025/12/24 · openalex updated_date 2026/07/28

Abstract

Structure Functions for small DIS (deep inelastic scattering) x for integrable models are investigated, in particular, for the O(N)~σ-model and SU(N) chiral Gross-Neveu model, which are asymptotically free. We get the universal behavior x^-1ln^-2x at small Bjorken variable x and confirm a Balog Weisz conjecture. For a the second group of models, the Sine-Gordon, sinh-Gordon and Z(N), we find power behavior x^-λ. The special behavior of the structure function for the Sine-Gordon model is probably crucial for future investigation in 4D QCD.

Citations

• Factorization in deep inelastic scattering at Björken limit: Reduction to (1+1)D integrable models

Related

• Introduction to Structure Functions
• Evolution of DIS structure functions at small x
• Factorization in deep inelastic scattering at Björken limit: Reduction to (1+1)D integrable models
• Theoretical Progress in QCD at small x
• QCD Evolution of Structure Functions at Small x