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arXiv · 2512.19555

Structure Functions for small DIS $x$

Hrachya M. Babujian·Angela Foerster·Michael Karowski
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Abstract

Structure Functions for small DIS (deep inelastic scattering) $x$ for integrable models are investigated, in particular, for the $O(N)$~$\sigma $-model and $SU(N)$ chiral Gross-Neveu model, which are asymptotically free. We get the universal behavior $x^{-1}\ln^{-2}x$ 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 $x^{-\lambda}$. The special behavior of the structure function for the Sine-Gordon model is probably crucial for future investigation in 4D QCD.

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Hrachya M. Babujian, Angela Foerster, Michael Karowski. 2025-12-22. Structure Functions for small DIS $x$. https://arxiv.org/abs/2512.19555

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