Localized modes in the IR phase of QCD

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00584742" target="_blank" >RIV/61389005:_____/24:00584742 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1103/PhysRevD.109.014501" target="_blank" >https://doi.org/10.1103/PhysRevD.109.014501</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.109.014501" target="_blank" >10.1103/PhysRevD.109.014501</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Localized modes in the IR phase of QCD

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Localized modes in the IR phase of QCD

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

109

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

014501

Kód UT WoS článku

001174133700003

EID výsledku v databázi Scopus

2-s2.0-85182996804