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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2512.19555 |
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| _version_ | 1866912783101067264 |
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| author | Babujian, Hrachya M. Foerster, Angela Karowski, Michael |
| author_facet | Babujian, Hrachya M. Foerster, Angela Karowski, Michael |
| contents | 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 $x^{-1}\ln^{-2}x$ 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 $x^{-λ}$. The special behavior of the structure function for the Sine-Gordon model is probably crucial for future investigation in 4D QCD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19555 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure Functions for small DIS $x$ Babujian, Hrachya M. Foerster, Angela Karowski, Michael High Energy Physics - Theory High Energy Physics - Phenomenology 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 $x^{-1}\ln^{-2}x$ 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 $x^{-λ}$. The special behavior of the structure function for the Sine-Gordon model is probably crucial for future investigation in 4D QCD. |
| title | Structure Functions for small DIS $x$ |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2512.19555 |