Digit anomalies in the hadronic mass spectrum, Shannon information entropy, and the dynamical QCD scale
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909906023481344 |
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| author | da Rocha, R. Vilela, R. D. |
| author_facet | da Rocha, R. Vilela, R. D. |
| contents | Quantum Chromodynamics (QCD) has an emergent dynamical energy scale $Λ_{\rm QCD}$ which sets the threshold between perturbative and nonperturbative regimes. This characteristic scale causes hadronic masses to cluster within certain mass ranges, instead of following a uniform distribution. Analyzing the Shannon information entropy underlying the hadronic mass spectrum provides novel insight into this phenomenon, revealing a pronounced deviation from the law of anomalous numbers.
This deviation quantifies the emergence of the dynamical scale in strongly interacting systems, also encoding the information-entropy cost associated with the breaking of scale invariance in QCD. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Digit anomalies in the hadronic mass spectrum, Shannon information entropy, and the dynamical QCD scale da Rocha, R. Vilela, R. D. High Energy Physics - Phenomenology High Energy Physics - Theory Quantum Chromodynamics (QCD) has an emergent dynamical energy scale $Λ_{\rm QCD}$ which sets the threshold between perturbative and nonperturbative regimes. This characteristic scale causes hadronic masses to cluster within certain mass ranges, instead of following a uniform distribution. Analyzing the Shannon information entropy underlying the hadronic mass spectrum provides novel insight into this phenomenon, revealing a pronounced deviation from the law of anomalous numbers. This deviation quantifies the emergence of the dynamical scale in strongly interacting systems, also encoding the information-entropy cost associated with the breaking of scale invariance in QCD. |
| title | Digit anomalies in the hadronic mass spectrum, Shannon information entropy, and the dynamical QCD scale |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2511.12789 |