Hypercontractivity and factorial moment scaling in the symmetry broken phase
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 se...
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| Language: | English |
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Elsevier
2025-04-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325001364 |
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| author | A. Brofas M. Zampetakis F.K. Diakonos |
| author_facet | A. Brofas M. Zampetakis F.K. Diakonos |
| author_sort | A. Brofas |
| collection | DOAJ |
| description | 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 (2023) [1], where no indication of criticality was observed. |
| format | Article |
| id | doaj-art-040d68ca75264ea4a9fc79946f511fcc |
| institution | DOAJ |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-040d68ca75264ea4a9fc79946f511fcc2025-08-20T02:50:45ZengElsevierPhysics Letters B0370-26932025-04-0186313937610.1016/j.physletb.2025.139376Hypercontractivity and factorial moment scaling in the symmetry broken phaseA. Brofas0M. Zampetakis1F.K. Diakonos2Department of Physics, University of Athens, Athens GR-15784, Greece; Corresponding author.Computer Science Department, Yale University, New Haven US-06511, USA; Archimedes Research Unit, Athens GR-15125, GreeceDepartment of Physics, University of Athens, Athens GR-15784, GreeceThe 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 (2023) [1], where no indication of criticality was observed.http://www.sciencedirect.com/science/article/pii/S0370269325001364QCD critical pointIntermittencyIon collisionsHypercontractivity |
| spellingShingle | A. Brofas M. Zampetakis F.K. Diakonos Hypercontractivity and factorial moment scaling in the symmetry broken phase Physics Letters B QCD critical point Intermittency Ion collisions Hypercontractivity |
| title | Hypercontractivity and factorial moment scaling in the symmetry broken phase |
| title_full | Hypercontractivity and factorial moment scaling in the symmetry broken phase |
| title_fullStr | Hypercontractivity and factorial moment scaling in the symmetry broken phase |
| title_full_unstemmed | Hypercontractivity and factorial moment scaling in the symmetry broken phase |
| title_short | Hypercontractivity and factorial moment scaling in the symmetry broken phase |
| title_sort | hypercontractivity and factorial moment scaling in the symmetry broken phase |
| topic | QCD critical point Intermittency Ion collisions Hypercontractivity |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325001364 |
| work_keys_str_mv | AT abrofas hypercontractivityandfactorialmomentscalinginthesymmetrybrokenphase AT mzampetakis hypercontractivityandfactorialmomentscalinginthesymmetrybrokenphase AT fkdiakonos hypercontractivityandfactorialmomentscalinginthesymmetrybrokenphase |