Hypercontractivity and factorial moment scaling in the symmetry broken phase
Autor: | Brofas, Athanasios, Zampetakis, Manolis, Diakonos, Fotios |
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Rok vydání: | 2024 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | The search for remnants of the QCD chiral critical point is a central objective of current and future high-energy ion collision experiments. Previous studies suggest that a scaling law relating higher-order factorial moments of hadron multiplicity fluctuations to the second factorial moment could serve as a tool for detecting the QCD critical point. However, we demonstrate that this scaling law is not unique to critical phenomena. Instead, it emerges as a general property of distributions by extending the concept of hypercontractivity, originally applied to ordinary moments, to factorial moments. We present examples of distribution classes that exhibit the same higher-order factorial moment scaling as multiplicity fluctuations in the symmetry-broken phase. This insight allows us to explain the recent intermittency analysis results from the STAR experiment at RHIC (arXiv:2301.11062), where no indication of criticality was observed. Comment: main: 5 pages, 3 figures, supplemental: 4 pages, 1 figure |
Databáze: | arXiv |
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