Gluon condensate via Dirac spectral density: IR phase, scale anomaly, and IR decoupling

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F25%3A00642355" target="_blank" >RIV/61389005:_____/25:00642355 - isvavai.cz</a>

Výsledek na webu

<a href="https://journals.aps.org/prd/abstract/10.1103/w33k-gr8k" target="_blank" >https://journals.aps.org/prd/abstract/10.1103/w33k-gr8k</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/w33k-gr8k" target="_blank" >10.1103/w33k-gr8k</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Gluon condensate via Dirac spectral density: IR phase, scale anomaly, and IR decoupling

Popis výsledku v původním jazyce

Quark and gluon scalar densities, ( yryr) and (F2), reflect the degree of scale-invariance violations in SU(N) gauge theories with fundamental quarks. It is known that (yryr) can be usefully scale-decomposed via the spectral density p(A) of Dirac modes. Here, we give such formula for (F2), which reveals that the gluon condensate is a strictly UV quantity. For the recently found IR phase [1,2], where the infrared (IR) degrees of freedom separate out and become independent of the system's bulk, it implies that (F2) due to this IR part vanishes. Its glue, thus, does not contribute to the scale anomaly of the entire system and is, in this sense, scale invariant consistently with the original claim. Associated formulas are used to define the IR decoupling of glue, which may serve as an alternative indicator of IR phase transition. Using the simplest form of coherent lattice QCD, we express the effective action of full QCD entirely via Dirac spectral density.

Název v anglickém jazyce

Gluon condensate via Dirac spectral density: IR phase, scale anomaly, and IR decoupling

Popis výsledku anglicky

Quark and gluon scalar densities, ( yryr) and (F2), reflect the degree of scale-invariance violations in SU(N) gauge theories with fundamental quarks. It is known that (yryr) can be usefully scale-decomposed via the spectral density p(A) of Dirac modes. Here, we give such formula for (F2), which reveals that the gluon condensate is a strictly UV quantity. For the recently found IR phase [1,2], where the infrared (IR) degrees of freedom separate out and become independent of the system's bulk, it implies that (F2) due to this IR part vanishes. Its glue, thus, does not contribute to the scale anomaly of the entire system and is, in this sense, scale invariant consistently with the original claim. Associated formulas are used to define the IR decoupling of glue, which may serve as an alternative indicator of IR phase transition. Using the simplest form of coherent lattice QCD, we express the effective action of full QCD entirely via Dirac spectral density.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

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

112

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

8

Strana od-do

094505

Kód UT WoS článku

001619465300020

EID výsledku v databázi Scopus

2-s2.0-105026678612