Pomeron evolution, entanglement entropy and Abramovskii-Gribov-Kancheli cutting rules
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| Format: | Preprint |
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2025
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| _version_ | 1866912539955167232 |
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| author | Ouchen, Mustapha Prygarin, Alex |
| author_facet | Ouchen, Mustapha Prygarin, Alex |
| contents | We use Pomeron evolution equation in zero transverse dimension based on the Abramovskii-Gribov-Kancheli~(AGK) cutting rules to calculate the von Neumann entropy and $q$-moments that used as an experimental test for the Koba-Nielsen-Olesen~(KNO) scaling. In order to avoid the negative probabilities that emerge from the negative AGK weights in the Minkowski space, we reformulate
the Pomeron evolution in the Euclidean space. The resulting positive definite probabilities for cut and uncut Pomerons are used in calculating the $q$-moments.
The comparison to the experimental data shows that our AGK based model successfully describes $q$-moments dependence on the mean multiplicity without any adjustable parameter in the experimental data of the $\mathtt{p-p}$ collisions by $\mathtt{ALICE}$ Collaboration. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_12102 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pomeron evolution, entanglement entropy and Abramovskii-Gribov-Kancheli cutting rules Ouchen, Mustapha Prygarin, Alex High Energy Physics - Phenomenology High Energy Physics - Theory We use Pomeron evolution equation in zero transverse dimension based on the Abramovskii-Gribov-Kancheli~(AGK) cutting rules to calculate the von Neumann entropy and $q$-moments that used as an experimental test for the Koba-Nielsen-Olesen~(KNO) scaling. In order to avoid the negative probabilities that emerge from the negative AGK weights in the Minkowski space, we reformulate the Pomeron evolution in the Euclidean space. The resulting positive definite probabilities for cut and uncut Pomerons are used in calculating the $q$-moments. The comparison to the experimental data shows that our AGK based model successfully describes $q$-moments dependence on the mean multiplicity without any adjustable parameter in the experimental data of the $\mathtt{p-p}$ collisions by $\mathtt{ALICE}$ Collaboration. |
| title | Pomeron evolution, entanglement entropy and Abramovskii-Gribov-Kancheli cutting rules |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.12102 |