Abstract
Infrared (IR) dimension function characterizes the space effectively utilized by QCD quarks at Dirac scale , 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 in Dirac spectrum with mobility edges . For this structure to be truly Anderson-like, plateau modes have to be exponentially localized, implying that both the effective distances and the effective volumes in these modes grow slower than any positive power of IR cutoff . Although was confirmed in the plateau, it was found that . Here we apply the recently proposed multidimension technique to the problem. We conclude that a plateau mode of pure-glue QCD at UV cutoff 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.
- Received 30 October 2023
- Accepted 12 December 2023
- Corrected 18 January 2024
DOI:https://doi.org/10.1103/PhysRevD.109.014501
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society
Physics Subject Headings (PhySH)
Corrections
18 January 2024
Correction: A formatting error introduced in the production cycle resulted in a misspelling in the third affiliation and has been fixed.