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Localized modes in the IR phase of QCD
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SYSNO ASEP 0584742 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Localized modes in the IR phase of QCD Author(s) Alexandru, A. (US)
Horváth, Ivan (UJF-V) ORCID, SAI
Bhattacharyya, N. (US)Number of authors 3 Article number 014501 Source Title Physical Review D. - : American Physical Society - ISSN 2470-0010
Roč. 109, č. 1 (2024)Number of pages 6 s. Publication form Print - P Language eng - English Country US - United States Keywords Quantum chromodynamics ; IR dimension function OECD category Particles and field physics Method of publishing Open access Institutional support UJF-V - RVO:61389005 UT WOS 001174133700003 EID SCOPUS 85182996804 DOI 10.1103/PhysRevD.109.014501 Annotation Infrared (IR) dimension function dIR(A) characterizes the space effectively utilized by QCD quarks at Dirac scale A, and indirectly the space occupied by glue fields. It was proposed that its nonanalytic behavior in thermal infrared phase reflects the separation of QCD system into an IR component and an independent bulk. Here we study the 'plateau modes' in the IR component, whose dimensional properties were puzzling. Indeed, in the recent metal -to -critical scenario of transition to IR phase, this low -dimensional plateau connects the Anderson -like mobility edge AIR = 0 in Dirac spectrum with mobility edges +AA. For this structure to be truly Anderson -like, plateau modes have to be exponentially localized, implying that both the effective distances Leff << Ly and the effective volumes Veff << LdIR in these modes grow slower than any positive power of IR cutoff L. Although y = 0 was confirmed in the plateau, it was found that dIR approximate to 1. Here we apply the recently proposed multidimension technique to the problem. We conclude that a plateau mode of pure -glue QCD at UV cutoff a = 0.085 fm occupies a subvolume of IR dimension zero with probability at least 0.9999, substantiating this aspect of metal -to -critical scenario to a respective degree. Workplace Nuclear Physics Institute Contact Markéta Sommerová, sommerova@ujf.cas.cz, Tel.: 266 173 228 Year of Publishing 2025 Electronic address https://doi.org/10.1103/PhysRevD.109.014501
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